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Finding the Fourth Proportional to 514,265.94, 771,602.01 and 159,307.65

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Solution

The fourth proportional to 514,265.94, 771,602.01 and 159,307.65 is: 239,024.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,265.94 : 771,602.01 = 159,307.65 : x
  2. Step 2: Convert to fraction form
    514,265.94/771,602.01 = 159,307.65/x
  3. Step 3: Cross multiply
    514,265.94x = 771,602.01 × 159,307.65
  4. Step 4: Simplify right side
    514,265.94x = 122,922,102,948.38
  5. Step 5: Solve for x
    x = 122,922,102,948.38/514,265.94
  6. Step 6: Final answer
    x = 239,024.39

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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.