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Finding the Fourth Proportional to 472,609.86, 708,707.43 and 176,914.50

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Solution

The fourth proportional to 472,609.86, 708,707.43 and 176,914.50 is: 265,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,609.86 : 708,707.43 = 176,914.50 : x
  2. Step 2: Convert to fraction form
    472,609.86/708,707.43 = 176,914.50/x
  3. Step 3: Cross multiply
    472,609.86x = 708,707.43 × 176,914.50
  4. Step 4: Simplify right side
    472,609.86x = 125,380,620,624.74
  5. Step 5: Solve for x
    x = 125,380,620,624.74/472,609.86
  6. Step 6: Final answer
    x = 265,294.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.