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Finding the Fourth Proportional to 514,693.77, 772,090.56 and 159,612.45

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Solution

The fourth proportional to 514,693.77, 772,090.56 and 159,612.45 is: 239,434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,693.77 : 772,090.56 = 159,612.45 : x
  2. Step 2: Convert to fraction form
    514,693.77/772,090.56 = 159,612.45/x
  3. Step 3: Cross multiply
    514,693.77x = 772,090.56 × 159,612.45
  4. Step 4: Simplify right side
    514,693.77x = 123,235,265,903.47
  5. Step 5: Solve for x
    x = 123,235,265,903.47/514,693.77
  6. Step 6: Final answer
    x = 239,434.15

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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.