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Finding the Fourth Proportional to 517,978.24, 776,967.36 and 185,787.52

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Solution

The fourth proportional to 517,978.24, 776,967.36 and 185,787.52 is: 278,681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,978.24 : 776,967.36 = 185,787.52 : x
  2. Step 2: Convert to fraction form
    517,978.24/776,967.36 = 185,787.52/x
  3. Step 3: Cross multiply
    517,978.24x = 776,967.36 × 185,787.52
  4. Step 4: Simplify right side
    517,978.24x = 144,350,838,935.35
  5. Step 5: Solve for x
    x = 144,350,838,935.35/517,978.24
  6. Step 6: Final answer
    x = 278,681.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.