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Finding the Fourth Proportional to 509,387.19, 702,913.17 and 294,541.17

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Solution

The fourth proportional to 509,387.19, 702,913.17 and 294,541.17 is: 406,443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,387.19 : 702,913.17 = 294,541.17 : x
  2. Step 2: Convert to fraction form
    509,387.19/702,913.17 = 294,541.17/x
  3. Step 3: Cross multiply
    509,387.19x = 702,913.17 × 294,541.17
  4. Step 4: Simplify right side
    509,387.19x = 207,036,867,500.21
  5. Step 5: Solve for x
    x = 207,036,867,500.21/509,387.19
  6. Step 6: Final answer
    x = 406,443.02

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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.