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Finding the Fourth Proportional to 472,592.46, 708,927.09 and 140,167.50

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Solution

The fourth proportional to 472,592.46, 708,927.09 and 140,167.50 is: 210,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,592.46 : 708,927.09 = 140,167.50 : x
  2. Step 2: Convert to fraction form
    472,592.46/708,927.09 = 140,167.50/x
  3. Step 3: Cross multiply
    472,592.46x = 708,927.09 × 140,167.50
  4. Step 4: Simplify right side
    472,592.46x = 99,368,537,887.58
  5. Step 5: Solve for x
    x = 99,368,537,887.58/472,592.46
  6. Step 6: Final answer
    x = 210,262.64

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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.