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Finding the Fourth Proportional to 556,497.90, 834,779.16 and 157,105.24

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Solution

The fourth proportional to 556,497.90, 834,779.16 and 157,105.24 is: 235,666.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,497.90 : 834,779.16 = 157,105.24 : x
  2. Step 2: Convert to fraction form
    556,497.90/834,779.16 = 157,105.24/x
  3. Step 3: Cross multiply
    556,497.90x = 834,779.16 × 157,105.24
  4. Step 4: Simplify right side
    556,497.90x = 131,148,178,191.85
  5. Step 5: Solve for x
    x = 131,148,178,191.85/556,497.90
  6. Step 6: Final answer
    x = 235,666.98

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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.