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Finding the Fourth Proportional to 514,904.40, 772,502.40 and 159,954.30

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Solution

The fourth proportional to 514,904.40, 772,502.40 and 159,954.30 is: 239,976.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,904.40 : 772,502.40 = 159,954.30 : x
  2. Step 2: Convert to fraction form
    514,904.40/772,502.40 = 159,954.30/x
  3. Step 3: Cross multiply
    514,904.40x = 772,502.40 × 159,954.30
  4. Step 4: Simplify right side
    514,904.40x = 123,565,080,640.32
  5. Step 5: Solve for x
    x = 123,565,080,640.32/514,904.40
  6. Step 6: Final answer
    x = 239,976.74

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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.