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Finding the Fourth Proportional to 475,721.60, 713,597.44 and 176,277.12

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Solution

The fourth proportional to 475,721.60, 713,597.44 and 176,277.12 is: 264,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,721.60 : 713,597.44 = 176,277.12 : x
  2. Step 2: Convert to fraction form
    475,721.60/713,597.44 = 176,277.12/x
  3. Step 3: Cross multiply
    475,721.60x = 713,597.44 × 176,277.12
  4. Step 4: Simplify right side
    475,721.60x = 125,790,901,562.57
  5. Step 5: Solve for x
    x = 125,790,901,562.57/475,721.60
  6. Step 6: Final answer
    x = 264,421.25

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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.