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Finding the Fourth Proportional to 284,195.74, 392,017.98 and 169,397.89

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Solution

The fourth proportional to 284,195.74, 392,017.98 and 169,397.89 is: 233,666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,195.74 : 392,017.98 = 169,397.89 : x
  2. Step 2: Convert to fraction form
    284,195.74/392,017.98 = 169,397.89/x
  3. Step 3: Cross multiply
    284,195.74x = 392,017.98 × 169,397.89
  4. Step 4: Simplify right side
    284,195.74x = 66,407,018,654.06
  5. Step 5: Solve for x
    x = 66,407,018,654.06/284,195.74
  6. Step 6: Final answer
    x = 233,666.48

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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.