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Finding the Fourth Proportional to 586,564.69, 880,179.88 and 316,689.24

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Solution

The fourth proportional to 586,564.69, 880,179.88 and 316,689.24 is: 475,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,564.69 : 880,179.88 = 316,689.24 : x
  2. Step 2: Convert to fraction form
    586,564.69/880,179.88 = 316,689.24/x
  3. Step 3: Cross multiply
    586,564.69x = 880,179.88 × 316,689.24
  4. Step 4: Simplify right side
    586,564.69x = 278,743,497,260.49
  5. Step 5: Solve for x
    x = 278,743,497,260.49/586,564.69
  6. Step 6: Final answer
    x = 475,213.56

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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.