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Finding the Fourth Proportional to 472,032.84, 707,896.14 and 156,405

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Solution

The fourth proportional to 472,032.84, 707,896.14 and 156,405 is: 234,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,032.84 : 707,896.14 = 156,405 : x
  2. Step 2: Convert to fraction form
    472,032.84/707,896.14 = 156,405/x
  3. Step 3: Cross multiply
    472,032.84x = 707,896.14 × 156,405
  4. Step 4: Simplify right side
    472,032.84x = 110,718,495,776.70
  5. Step 5: Solve for x
    x = 110,718,495,776.70/472,032.84
  6. Step 6: Final answer
    x = 234,556.76

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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.