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Finding the Fourth Proportional to 585,711.26, 878,818.26 and 186,384.50

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Solution

The fourth proportional to 585,711.26, 878,818.26 and 186,384.50 is: 279,656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,711.26 : 878,818.26 = 186,384.50 : x
  2. Step 2: Convert to fraction form
    585,711.26/878,818.26 = 186,384.50/x
  3. Step 3: Cross multiply
    585,711.26x = 878,818.26 × 186,384.50
  4. Step 4: Simplify right side
    585,711.26x = 163,798,101,980.97
  5. Step 5: Solve for x
    x = 163,798,101,980.97/585,711.26
  6. Step 6: Final answer
    x = 279,656.74

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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.