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Finding the Fourth Proportional to 477,397.34, 658,795.17 and 262,537.40

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Solution

The fourth proportional to 477,397.34, 658,795.17 and 262,537.40 is: 362,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,397.34 : 658,795.17 = 262,537.40 : x
  2. Step 2: Convert to fraction form
    477,397.34/658,795.17 = 262,537.40/x
  3. Step 3: Cross multiply
    477,397.34x = 658,795.17 × 262,537.40
  4. Step 4: Simplify right side
    477,397.34x = 172,958,373,695.86
  5. Step 5: Solve for x
    x = 172,958,373,695.86/477,397.34
  6. Step 6: Final answer
    x = 362,294.38

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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.