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Finding the Fourth Proportional to 296,409.57, 443,580.75 and 242,478.15

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Solution

The fourth proportional to 296,409.57, 443,580.75 and 242,478.15 is: 362,871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,409.57 : 443,580.75 = 242,478.15 : x
  2. Step 2: Convert to fraction form
    296,409.57/443,580.75 = 242,478.15/x
  3. Step 3: Cross multiply
    296,409.57x = 443,580.75 × 242,478.15
  4. Step 4: Simplify right side
    296,409.57x = 107,558,639,635.61
  5. Step 5: Solve for x
    x = 107,558,639,635.61/296,409.57
  6. Step 6: Final answer
    x = 362,871.68

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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.