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Finding the Fourth Proportional to 413,492.78, 570,587.55 and 234,644.78

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Solution

The fourth proportional to 413,492.78, 570,587.55 and 234,644.78 is: 323,791.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,492.78 : 570,587.55 = 234,644.78 : x
  2. Step 2: Convert to fraction form
    413,492.78/570,587.55 = 234,644.78/x
  3. Step 3: Cross multiply
    413,492.78x = 570,587.55 × 234,644.78
  4. Step 4: Simplify right side
    413,492.78x = 133,885,390,140.49
  5. Step 5: Solve for x
    x = 133,885,390,140.49/413,492.78
  6. Step 6: Final answer
    x = 323,791.36

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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.