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Finding the Fourth Proportional to 514,695.12, 772,005.48 and 159,700.08

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Solution

The fourth proportional to 514,695.12, 772,005.48 and 159,700.08 is: 239,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,695.12 : 772,005.48 = 159,700.08 : x
  2. Step 2: Convert to fraction form
    514,695.12/772,005.48 = 159,700.08/x
  3. Step 3: Cross multiply
    514,695.12x = 772,005.48 × 159,700.08
  4. Step 4: Simplify right side
    514,695.12x = 123,289,336,916.44
  5. Step 5: Solve for x
    x = 123,289,336,916.44/514,695.12
  6. Step 6: Final answer
    x = 239,538.58

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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.