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Finding the Fourth Proportional to 477,538.86, 716,396.88 and 157,712.89

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Solution

The fourth proportional to 477,538.86, 716,396.88 and 157,712.89 is: 236,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,538.86 : 716,396.88 = 157,712.89 : x
  2. Step 2: Convert to fraction form
    477,538.86/716,396.88 = 157,712.89/x
  3. Step 3: Cross multiply
    477,538.86x = 716,396.88 × 157,712.89
  4. Step 4: Simplify right side
    477,538.86x = 112,985,022,331.78
  5. Step 5: Solve for x
    x = 112,985,022,331.78/477,538.86
  6. Step 6: Final answer
    x = 236,598.59

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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.