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Finding the Fourth Proportional to 473,096.20, 709,644.30 and 402,237.40

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Solution

The fourth proportional to 473,096.20, 709,644.30 and 402,237.40 is: 603,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,096.20 : 709,644.30 = 402,237.40 : x
  2. Step 2: Convert to fraction form
    473,096.20/709,644.30 = 402,237.40/x
  3. Step 3: Cross multiply
    473,096.20x = 709,644.30 × 402,237.40
  4. Step 4: Simplify right side
    473,096.20x = 285,445,478,156.82
  5. Step 5: Solve for x
    x = 285,445,478,156.82/473,096.20
  6. Step 6: Final answer
    x = 603,356.10

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