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Finding the Fourth Proportional to 477,256.86, 715,733.06 and 157,349.12

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Solution

The fourth proportional to 477,256.86, 715,733.06 and 157,349.12 is: 235,973.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,256.86 : 715,733.06 = 157,349.12 : x
  2. Step 2: Convert to fraction form
    477,256.86/715,733.06 = 157,349.12/x
  3. Step 3: Cross multiply
    477,256.86x = 715,733.06 × 157,349.12
  4. Step 4: Simplify right side
    477,256.86x = 112,619,962,780.50
  5. Step 5: Solve for x
    x = 112,619,962,780.50/477,256.86
  6. Step 6: Final answer
    x = 235,973.48

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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.