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Finding the Fourth Proportional to 416,332.68, 574,553.01 and 255,156.57

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Solution

The fourth proportional to 416,332.68, 574,553.01 and 255,156.57 is: 352,124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,332.68 : 574,553.01 = 255,156.57 : x
  2. Step 2: Convert to fraction form
    416,332.68/574,553.01 = 255,156.57/x
  3. Step 3: Cross multiply
    416,332.68x = 574,553.01 × 255,156.57
  4. Step 4: Simplify right side
    416,332.68x = 146,600,975,314.78
  5. Step 5: Solve for x
    x = 146,600,975,314.78/416,332.68
  6. Step 6: Final answer
    x = 352,124.59

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1.5x scale

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.