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Finding the Fourth Proportional to 472,332.48, 705,367.94 and 415,101.12

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Solution

The fourth proportional to 472,332.48, 705,367.94 and 415,101.12 is: 619,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,332.48 : 705,367.94 = 415,101.12 : x
  2. Step 2: Convert to fraction form
    472,332.48/705,367.94 = 415,101.12/x
  3. Step 3: Cross multiply
    472,332.48x = 705,367.94 × 415,101.12
  4. Step 4: Simplify right side
    472,332.48x = 292,799,021,906.09
  5. Step 5: Solve for x
    x = 292,799,021,906.09/472,332.48
  6. Step 6: Final answer
    x = 619,900.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.