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Finding the Fourth Proportional to 461,309.28, 691,730.64 and 236,621.76

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Solution

The fourth proportional to 461,309.28, 691,730.64 and 236,621.76 is: 354,812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,309.28 : 691,730.64 = 236,621.76 : x
  2. Step 2: Convert to fraction form
    461,309.28/691,730.64 = 236,621.76/x
  3. Step 3: Cross multiply
    461,309.28x = 691,730.64 × 236,621.76
  4. Step 4: Simplify right side
    461,309.28x = 163,678,521,482.73
  5. Step 5: Solve for x
    x = 163,678,521,482.73/461,309.28
  6. Step 6: Final answer
    x = 354,812.98

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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.