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Finding the Fourth Proportional to 472,877.20, 709,315.80 and 224,045.20

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Solution

The fourth proportional to 472,877.20, 709,315.80 and 224,045.20 is: 336,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,877.20 : 709,315.80 = 224,045.20 : x
  2. Step 2: Convert to fraction form
    472,877.20/709,315.80 = 224,045.20/x
  3. Step 3: Cross multiply
    472,877.20x = 709,315.80 × 224,045.20
  4. Step 4: Simplify right side
    472,877.20x = 158,918,800,274.16
  5. Step 5: Solve for x
    x = 158,918,800,274.16/472,877.20
  6. Step 6: Final answer
    x = 336,067.80

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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.