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Finding the Fourth Proportional to 487,617, 672,962.14 and 280,892.51

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Solution

The fourth proportional to 487,617, 672,962.14 and 280,892.51 is: 387,660.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,617 : 672,962.14 = 280,892.51 : x
  2. Step 2: Convert to fraction form
    487,617/672,962.14 = 280,892.51/x
  3. Step 3: Cross multiply
    487,617x = 672,962.14 × 280,892.51
  4. Step 4: Simplify right side
    487,617x = 189,030,024,639.57
  5. Step 5: Solve for x
    x = 189,030,024,639.57/487,617
  6. Step 6: Final answer
    x = 387,660.86

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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.