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Finding the Fourth Proportional to 748,697.34, 1,033,200.04 and 409,165.60

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Solution

The fourth proportional to 748,697.34, 1,033,200.04 and 409,165.60 is: 564,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,697.34 : 1,033,200.04 = 409,165.60 : x
  2. Step 2: Convert to fraction form
    748,697.34/1,033,200.04 = 409,165.60/x
  3. Step 3: Cross multiply
    748,697.34x = 1,033,200.04 × 409,165.60
  4. Step 4: Simplify right side
    748,697.34x = 422,749,914,286.62
  5. Step 5: Solve for x
    x = 422,749,914,286.62/748,697.34
  6. Step 6: Final answer
    x = 564,647.28

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.