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Finding the Fourth Proportional to 498,208.40, 747,312.60 and 165,784.40

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Solution

The fourth proportional to 498,208.40, 747,312.60 and 165,784.40 is: 248,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,208.40 : 747,312.60 = 165,784.40 : x
  2. Step 2: Convert to fraction form
    498,208.40/747,312.60 = 165,784.40/x
  3. Step 3: Cross multiply
    498,208.40x = 747,312.60 × 165,784.40
  4. Step 4: Simplify right side
    498,208.40x = 123,892,771,003.44
  5. Step 5: Solve for x
    x = 123,892,771,003.44/498,208.40
  6. Step 6: Final answer
    x = 248,676.60

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.