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Finding the Fourth Proportional to 472,251.78, 651,461.93 and 299,874.82

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Solution

The fourth proportional to 472,251.78, 651,461.93 and 299,874.82 is: 413,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,251.78 : 651,461.93 = 299,874.82 : x
  2. Step 2: Convert to fraction form
    472,251.78/651,461.93 = 299,874.82/x
  3. Step 3: Cross multiply
    472,251.78x = 651,461.93 × 299,874.82
  4. Step 4: Simplify right side
    472,251.78x = 195,357,030,624.26
  5. Step 5: Solve for x
    x = 195,357,030,624.26/472,251.78
  6. Step 6: Final answer
    x = 413,671.35

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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.