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Finding the Fourth Proportional to 477,539.86, 716,398.38 and 157,713.89

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Solution

The fourth proportional to 477,539.86, 716,398.38 and 157,713.89 is: 236,600.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,539.86 : 716,398.38 = 157,713.89 : x
  2. Step 2: Convert to fraction form
    477,539.86/716,398.38 = 157,713.89/x
  3. Step 3: Cross multiply
    477,539.86x = 716,398.38 × 157,713.89
  4. Step 4: Simplify right side
    477,539.86x = 112,985,975,299.50
  5. Step 5: Solve for x
    x = 112,985,975,299.50/477,539.86
  6. Step 6: Final answer
    x = 236,600.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.