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Finding the Fourth Proportional to 413,342.91, 570,373.82 and 232,013.28

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Solution

The fourth proportional to 413,342.91, 570,373.82 and 232,013.28 is: 320,156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,342.91 : 570,373.82 = 232,013.28 : x
  2. Step 2: Convert to fraction form
    413,342.91/570,373.82 = 232,013.28/x
  3. Step 3: Cross multiply
    413,342.91x = 570,373.82 × 232,013.28
  4. Step 4: Simplify right side
    413,342.91x = 132,334,299,644.26
  5. Step 5: Solve for x
    x = 132,334,299,644.26/413,342.91
  6. Step 6: Final answer
    x = 320,156.21

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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.