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Finding the Fourth Proportional to 413,510.60, 570,600.24 and 232,242.32

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Solution

The fourth proportional to 413,510.60, 570,600.24 and 232,242.32 is: 320,469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,510.60 : 570,600.24 = 232,242.32 : x
  2. Step 2: Convert to fraction form
    413,510.60/570,600.24 = 232,242.32/x
  3. Step 3: Cross multiply
    413,510.60x = 570,600.24 × 232,242.32
  4. Step 4: Simplify right side
    413,510.60x = 132,517,523,530.16
  5. Step 5: Solve for x
    x = 132,517,523,530.16/413,510.60
  6. Step 6: Final answer
    x = 320,469.47

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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.