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Finding the Fourth Proportional to 585,708.76, 878,814.51 and 186,382

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Solution

The fourth proportional to 585,708.76, 878,814.51 and 186,382 is: 279,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,708.76 : 878,814.51 = 186,382 : x
  2. Step 2: Convert to fraction form
    585,708.76/878,814.51 = 186,382/x
  3. Step 3: Cross multiply
    585,708.76x = 878,814.51 × 186,382
  4. Step 4: Simplify right side
    585,708.76x = 163,795,206,002.82
  5. Step 5: Solve for x
    x = 163,795,206,002.82/585,708.76
  6. Step 6: Final answer
    x = 279,652.99

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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.