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Finding the Fourth Proportional to 556,429.76, 834,629.76 and 157,098.08

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Solution

The fourth proportional to 556,429.76, 834,629.76 and 157,098.08 is: 235,642.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,429.76 : 834,629.76 = 157,098.08 : x
  2. Step 2: Convert to fraction form
    556,429.76/834,629.76 = 157,098.08/x
  3. Step 3: Cross multiply
    556,429.76x = 834,629.76 × 157,098.08
  4. Step 4: Simplify right side
    556,429.76x = 131,118,732,806.86
  5. Step 5: Solve for x
    x = 131,118,732,806.86/556,429.76
  6. Step 6: Final answer
    x = 235,642.92

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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.