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Finding the Fourth Proportional to 415,233.84, 573,024.68 and 233,948.66

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Solution

The fourth proportional to 415,233.84, 573,024.68 and 233,948.66 is: 322,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,233.84 : 573,024.68 = 233,948.66 : x
  2. Step 2: Convert to fraction form
    415,233.84/573,024.68 = 233,948.66/x
  3. Step 3: Cross multiply
    415,233.84x = 573,024.68 × 233,948.66
  4. Step 4: Simplify right side
    415,233.84x = 134,058,352,875.37
  5. Step 5: Solve for x
    x = 134,058,352,875.37/415,233.84
  6. Step 6: Final answer
    x = 322,850.26

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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.