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Finding the Fourth Proportional to 472,348, 708,519.36 and 117,361.86

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Solution

The fourth proportional to 472,348, 708,519.36 and 117,361.86 is: 176,042.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,348 : 708,519.36 = 117,361.86 : x
  2. Step 2: Convert to fraction form
    472,348/708,519.36 = 117,361.86/x
  3. Step 3: Cross multiply
    472,348x = 708,519.36 × 117,361.86
  4. Step 4: Simplify right side
    472,348x = 83,153,149,935.61
  5. Step 5: Solve for x
    x = 83,153,149,935.61/472,348
  6. Step 6: Final answer
    x = 176,042.13

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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.