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Finding the Fourth Proportional to 464,411.28, 696,715.44 and 149,089.68

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Solution

The fourth proportional to 464,411.28, 696,715.44 and 149,089.68 is: 223,666.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,411.28 : 696,715.44 = 149,089.68 : x
  2. Step 2: Convert to fraction form
    464,411.28/696,715.44 = 149,089.68/x
  3. Step 3: Cross multiply
    464,411.28x = 696,715.44 × 149,089.68
  4. Step 4: Simplify right side
    464,411.28x = 103,873,082,000.66
  5. Step 5: Solve for x
    x = 103,873,082,000.66/464,411.28
  6. Step 6: Final answer
    x = 223,666.15

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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.