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Finding the Fourth Proportional to 413,499, 570,586.08 and 232,209.47

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Solution

The fourth proportional to 413,499, 570,586.08 and 232,209.47 is: 320,425.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,499 : 570,586.08 = 232,209.47 : x
  2. Step 2: Convert to fraction form
    413,499/570,586.08 = 232,209.47/x
  3. Step 3: Cross multiply
    413,499x = 570,586.08 × 232,209.47
  4. Step 4: Simplify right side
    413,499x = 132,495,488,373.25
  5. Step 5: Solve for x
    x = 132,495,488,373.25/413,499
  6. Step 6: Final answer
    x = 320,425.17

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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.