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Finding the Fourth Proportional to 514,560.94, 771,916.11 and 159,603.52

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Solution

The fourth proportional to 514,560.94, 771,916.11 and 159,603.52 is: 239,428.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,560.94 : 771,916.11 = 159,603.52 : x
  2. Step 2: Convert to fraction form
    514,560.94/771,916.11 = 159,603.52/x
  3. Step 3: Cross multiply
    514,560.94x = 771,916.11 × 159,603.52
  4. Step 4: Simplify right side
    514,560.94x = 123,200,528,300.71
  5. Step 5: Solve for x
    x = 123,200,528,300.71/514,560.94
  6. Step 6: Final answer
    x = 239,428.45

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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.