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Finding the Fourth Proportional to 585,566.64, 877,727.76 and 230,531.76

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Solution

The fourth proportional to 585,566.64, 877,727.76 and 230,531.76 is: 345,552.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,566.64 : 877,727.76 = 230,531.76 : x
  2. Step 2: Convert to fraction form
    585,566.64/877,727.76 = 230,531.76/x
  3. Step 3: Cross multiply
    585,566.64x = 877,727.76 × 230,531.76
  4. Step 4: Simplify right side
    585,566.64x = 202,344,125,313.66
  5. Step 5: Solve for x
    x = 202,344,125,313.66/585,566.64
  6. Step 6: Final answer
    x = 345,552.69

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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.