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Finding the Fourth Proportional to 466,543.76, 644,140.32 and 358,923.92

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Solution

The fourth proportional to 466,543.76, 644,140.32 and 358,923.92 is: 495,553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,543.76 : 644,140.32 = 358,923.92 : x
  2. Step 2: Convert to fraction form
    466,543.76/644,140.32 = 358,923.92/x
  3. Step 3: Cross multiply
    466,543.76x = 644,140.32 × 358,923.92
  4. Step 4: Simplify right side
    466,543.76x = 231,197,368,684.45
  5. Step 5: Solve for x
    x = 231,197,368,684.45/466,543.76
  6. Step 6: Final answer
    x = 495,553.45

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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.