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Finding the Fourth Proportional to 605,251.80, 907,877.70 and 402,298.20

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Solution

The fourth proportional to 605,251.80, 907,877.70 and 402,298.20 is: 603,447.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,251.80 : 907,877.70 = 402,298.20 : x
  2. Step 2: Convert to fraction form
    605,251.80/907,877.70 = 402,298.20/x
  3. Step 3: Cross multiply
    605,251.80x = 907,877.70 × 402,298.20
  4. Step 4: Simplify right side
    605,251.80x = 365,237,564,530.14
  5. Step 5: Solve for x
    x = 365,237,564,530.14/605,251.80
  6. Step 6: Final answer
    x = 603,447.30

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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.