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Finding the Fourth Proportional to 506,485.53, 698,968.31 and 280,132.65

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Solution

The fourth proportional to 506,485.53, 698,968.31 and 280,132.65 is: 386,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,485.53 : 698,968.31 = 280,132.65 : x
  2. Step 2: Convert to fraction form
    506,485.53/698,968.31 = 280,132.65/x
  3. Step 3: Cross multiply
    506,485.53x = 698,968.31 × 280,132.65
  4. Step 4: Simplify right side
    506,485.53x = 195,803,844,946.32
  5. Step 5: Solve for x
    x = 195,803,844,946.32/506,485.53
  6. Step 6: Final answer
    x = 386,593.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.