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Finding the Fourth Proportional to 474,462.82, 711,237.00 and 174,779.57

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Solution

The fourth proportional to 474,462.82, 711,237.00 and 174,779.57 is: 262,000.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,462.82 : 711,237.00 = 174,779.57 : x
  2. Step 2: Convert to fraction form
    474,462.82/711,237.00 = 174,779.57/x
  3. Step 3: Cross multiply
    474,462.82x = 711,237.00 × 174,779.57
  4. Step 4: Simplify right side
    474,462.82x = 124,309,699,461.61
  5. Step 5: Solve for x
    x = 124,309,699,461.61/474,462.82
  6. Step 6: Final answer
    x = 262,000.93

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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.