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Finding the Fourth Proportional to 472,112.09, 707,652.89 and 232,390.97

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Solution

The fourth proportional to 472,112.09, 707,652.89 and 232,390.97 is: 348,332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,112.09 : 707,652.89 = 232,390.97 : x
  2. Step 2: Convert to fraction form
    472,112.09/707,652.89 = 232,390.97/x
  3. Step 3: Cross multiply
    472,112.09x = 707,652.89 × 232,390.97
  4. Step 4: Simplify right side
    472,112.09x = 164,452,140,368.45
  5. Step 5: Solve for x
    x = 164,452,140,368.45/472,112.09
  6. Step 6: Final answer
    x = 348,332.83

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1.5x scale

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.