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Finding the Fourth Proportional to 472,252.78, 651,463.31 and 299,875.82

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Solution

The fourth proportional to 472,252.78, 651,463.31 and 299,875.82 is: 413,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,252.78 : 651,463.31 = 299,875.82 : x
  2. Step 2: Convert to fraction form
    472,252.78/651,463.31 = 299,875.82/x
  3. Step 3: Cross multiply
    472,252.78x = 651,463.31 × 299,875.82
  4. Step 4: Simplify right side
    472,252.78x = 195,358,094,286.16
  5. Step 5: Solve for x
    x = 195,358,094,286.16/472,252.78
  6. Step 6: Final answer
    x = 413,672.72

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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.