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Finding the Fourth Proportional to 472,335.12, 708,348.60 and 156,707.28

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Solution

The fourth proportional to 472,335.12, 708,348.60 and 156,707.28 is: 235,009.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,335.12 : 708,348.60 = 156,707.28 : x
  2. Step 2: Convert to fraction form
    472,335.12/708,348.60 = 156,707.28/x
  3. Step 3: Cross multiply
    472,335.12x = 708,348.60 × 156,707.28
  4. Step 4: Simplify right side
    472,335.12x = 111,003,382,397.81
  5. Step 5: Solve for x
    x = 111,003,382,397.81/472,335.12
  6. Step 6: Final answer
    x = 235,009.80

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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.