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Finding the Fourth Proportional to 500,111.52, 749,648.88 and 312,692.64

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Solution

The fourth proportional to 500,111.52, 749,648.88 and 312,692.64 is: 468,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,111.52 : 749,648.88 = 312,692.64 : x
  2. Step 2: Convert to fraction form
    500,111.52/749,648.88 = 312,692.64/x
  3. Step 3: Cross multiply
    500,111.52x = 749,648.88 × 312,692.64
  4. Step 4: Simplify right side
    500,111.52x = 234,409,687,360.24
  5. Step 5: Solve for x
    x = 234,409,687,360.24/500,111.52
  6. Step 6: Final answer
    x = 468,714.83

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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.