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Finding the Fourth Proportional to 472,627.12, 652,222.56 and 257,766.16

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Solution

The fourth proportional to 472,627.12, 652,222.56 and 257,766.16 is: 355,715.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,627.12 : 652,222.56 = 257,766.16 : x
  2. Step 2: Convert to fraction form
    472,627.12/652,222.56 = 257,766.16/x
  3. Step 3: Cross multiply
    472,627.12x = 652,222.56 × 257,766.16
  4. Step 4: Simplify right side
    472,627.12x = 168,120,904,756.57
  5. Step 5: Solve for x
    x = 168,120,904,756.57/472,627.12
  6. Step 6: Final answer
    x = 355,715.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.