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Finding the Fourth Proportional to 342,774.80, 514,950.48 and 241,805.24

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Solution

The fourth proportional to 342,774.80, 514,950.48 and 241,805.24 is: 363,263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,774.80 : 514,950.48 = 241,805.24 : x
  2. Step 2: Convert to fraction form
    342,774.80/514,950.48 = 241,805.24/x
  3. Step 3: Cross multiply
    342,774.80x = 514,950.48 × 241,805.24
  4. Step 4: Simplify right side
    342,774.80x = 124,517,721,829.76
  5. Step 5: Solve for x
    x = 124,517,721,829.76/342,774.80
  6. Step 6: Final answer
    x = 363,263.94

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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.