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Finding the Fourth Proportional to 413,303.67, 570,358.77 and 232,015.95

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Solution

The fourth proportional to 413,303.67, 570,358.77 and 232,015.95 is: 320,181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,303.67 : 570,358.77 = 232,015.95 : x
  2. Step 2: Convert to fraction form
    413,303.67/570,358.77 = 232,015.95/x
  3. Step 3: Cross multiply
    413,303.67x = 570,358.77 × 232,015.95
  4. Step 4: Simplify right side
    413,303.67x = 132,332,331,862.38
  5. Step 5: Solve for x
    x = 132,332,331,862.38/413,303.67
  6. Step 6: Final answer
    x = 320,181.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.