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Finding the Fourth Proportional to 477,270.79, 658,646.16 and 259,494.11

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Solution

The fourth proportional to 477,270.79, 658,646.16 and 259,494.11 is: 358,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,270.79 : 658,646.16 = 259,494.11 : x
  2. Step 2: Convert to fraction form
    477,270.79/658,646.16 = 259,494.11/x
  3. Step 3: Cross multiply
    477,270.79x = 658,646.16 × 259,494.11
  4. Step 4: Simplify right side
    477,270.79x = 170,914,799,094.12
  5. Step 5: Solve for x
    x = 170,914,799,094.12/477,270.79
  6. Step 6: Final answer
    x = 358,108.66

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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.