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Finding the Fourth Proportional to 296,009.41, 443,913.63 and 96,280.27

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Solution

The fourth proportional to 296,009.41, 443,913.63 and 96,280.27 is: 144,387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,009.41 : 443,913.63 = 96,280.27 : x
  2. Step 2: Convert to fraction form
    296,009.41/443,913.63 = 96,280.27/x
  3. Step 3: Cross multiply
    296,009.41x = 443,913.63 × 96,280.27
  4. Step 4: Simplify right side
    296,009.41x = 42,740,124,153.08
  5. Step 5: Solve for x
    x = 42,740,124,153.08/296,009.41
  6. Step 6: Final answer
    x = 144,387.72

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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.