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Finding the Fourth Proportional to 514,080.28, 771,156.47 and 159,047.56

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Solution

The fourth proportional to 514,080.28, 771,156.47 and 159,047.56 is: 238,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,080.28 : 771,156.47 = 159,047.56 : x
  2. Step 2: Convert to fraction form
    514,080.28/771,156.47 = 159,047.56/x
  3. Step 3: Cross multiply
    514,080.28x = 771,156.47 × 159,047.56
  4. Step 4: Simplify right side
    514,080.28x = 122,650,554,931.71
  5. Step 5: Solve for x
    x = 122,650,554,931.71/514,080.28
  6. Step 6: Final answer
    x = 238,582.49

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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.