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Finding the Fourth Proportional to 507,470.68, 700,384.14 and 292,568.77

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Solution

The fourth proportional to 507,470.68, 700,384.14 and 292,568.77 is: 403,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,470.68 : 700,384.14 = 292,568.77 : x
  2. Step 2: Convert to fraction form
    507,470.68/700,384.14 = 292,568.77/x
  3. Step 3: Cross multiply
    507,470.68x = 700,384.14 × 292,568.77
  4. Step 4: Simplify right side
    507,470.68x = 204,910,521,402.54
  5. Step 5: Solve for x
    x = 204,910,521,402.54/507,470.68
  6. Step 6: Final answer
    x = 403,787.91

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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.