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Finding the Fourth Proportional to 476,592.57, 715,184.31 and 277,006.95

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Solution

The fourth proportional to 476,592.57, 715,184.31 and 277,006.95 is: 415,682.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,592.57 : 715,184.31 = 277,006.95 : x
  2. Step 2: Convert to fraction form
    476,592.57/715,184.31 = 277,006.95/x
  3. Step 3: Cross multiply
    476,592.57x = 715,184.31 × 277,006.95
  4. Step 4: Simplify right side
    476,592.57x = 198,111,024,400.96
  5. Step 5: Solve for x
    x = 198,111,024,400.96/476,592.57
  6. Step 6: Final answer
    x = 415,682.15

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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.