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Finding the Fourth Proportional to 402,117.30, 602,657.55 and 308,157.30

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Solution

The fourth proportional to 402,117.30, 602,657.55 and 308,157.30 is: 461,838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,117.30 : 602,657.55 = 308,157.30 : x
  2. Step 2: Convert to fraction form
    402,117.30/602,657.55 = 308,157.30/x
  3. Step 3: Cross multiply
    402,117.30x = 602,657.55 × 308,157.30
  4. Step 4: Simplify right side
    402,117.30x = 185,713,323,432.62
  5. Step 5: Solve for x
    x = 185,713,323,432.62/402,117.30
  6. Step 6: Final answer
    x = 461,838.68

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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.