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Finding the Fourth Proportional to 309,871.80, 464,807.70 and 296,749.80

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Solution

The fourth proportional to 309,871.80, 464,807.70 and 296,749.80 is: 445,124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,871.80 : 464,807.70 = 296,749.80 : x
  2. Step 2: Convert to fraction form
    309,871.80/464,807.70 = 296,749.80/x
  3. Step 3: Cross multiply
    309,871.80x = 464,807.70 × 296,749.80
  4. Step 4: Simplify right side
    309,871.80x = 137,931,592,013.46
  5. Step 5: Solve for x
    x = 137,931,592,013.46/309,871.80
  6. Step 6: Final answer
    x = 445,124.70

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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.