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Finding the Fourth Proportional to 514,970.60, 772,528.80 and 159,947.60

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Solution

The fourth proportional to 514,970.60, 772,528.80 and 159,947.60 is: 239,944.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,970.60 : 772,528.80 = 159,947.60 : x
  2. Step 2: Convert to fraction form
    514,970.60/772,528.80 = 159,947.60/x
  3. Step 3: Cross multiply
    514,970.60x = 772,528.80 × 159,947.60
  4. Step 4: Simplify right side
    514,970.60x = 123,564,127,490.88
  5. Step 5: Solve for x
    x = 123,564,127,490.88/514,970.60
  6. Step 6: Final answer
    x = 239,944.04

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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.