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Finding the Fourth Proportional to 413,255.50, 570,246.96 and 231,925.84

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Solution

The fourth proportional to 413,255.50, 570,246.96 and 231,925.84 is: 320,032.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,255.50 : 570,246.96 = 231,925.84 : x
  2. Step 2: Convert to fraction form
    413,255.50/570,246.96 = 231,925.84/x
  3. Step 3: Cross multiply
    413,255.50x = 570,246.96 × 231,925.84
  4. Step 4: Simplify right side
    413,255.50x = 132,255,005,205.45
  5. Step 5: Solve for x
    x = 132,255,005,205.45/413,255.50
  6. Step 6: Final answer
    x = 320,032.05

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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.