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Finding the Fourth Proportional to 475,800.30, 713,663.37 and 176,139.90

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Solution

The fourth proportional to 475,800.30, 713,663.37 and 176,139.90 is: 264,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,800.30 : 713,663.37 = 176,139.90 : x
  2. Step 2: Convert to fraction form
    475,800.30/713,663.37 = 176,139.90/x
  3. Step 3: Cross multiply
    475,800.30x = 713,663.37 × 176,139.90
  4. Step 4: Simplify right side
    475,800.30x = 125,704,594,625.46
  5. Step 5: Solve for x
    x = 125,704,594,625.46/475,800.30
  6. Step 6: Final answer
    x = 264,196.12

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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.