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Finding the Fourth Proportional to 650,497, 897,642.36 and 360,088.84

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Solution

The fourth proportional to 650,497, 897,642.36 and 360,088.84 is: 496,898.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,497 : 897,642.36 = 360,088.84 : x
  2. Step 2: Convert to fraction form
    650,497/897,642.36 = 360,088.84/x
  3. Step 3: Cross multiply
    650,497x = 897,642.36 × 360,088.84
  4. Step 4: Simplify right side
    650,497x = 323,230,996,147.26
  5. Step 5: Solve for x
    x = 323,230,996,147.26/650,497
  6. Step 6: Final answer
    x = 496,898.52

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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.