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Finding the Fourth Proportional to 653,152.12, 980,029.50 and 298,274.92

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Solution

The fourth proportional to 653,152.12, 980,029.50 and 298,274.92 is: 447,549.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,152.12 : 980,029.50 = 298,274.92 : x
  2. Step 2: Convert to fraction form
    653,152.12/980,029.50 = 298,274.92/x
  3. Step 3: Cross multiply
    653,152.12x = 980,029.50 × 298,274.92
  4. Step 4: Simplify right side
    653,152.12x = 292,318,220,710.14
  5. Step 5: Solve for x
    x = 292,318,220,710.14/653,152.12
  6. Step 6: Final answer
    x = 447,549.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.