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Finding the Fourth Proportional to 585,187.77, 877,812.05 and 185,859.80

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Solution

The fourth proportional to 585,187.77, 877,812.05 and 185,859.80 is: 278,799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,187.77 : 877,812.05 = 185,859.80 : x
  2. Step 2: Convert to fraction form
    585,187.77/877,812.05 = 185,859.80/x
  3. Step 3: Cross multiply
    585,187.77x = 877,812.05 × 185,859.80
  4. Step 4: Simplify right side
    585,187.77x = 163,149,966,732.23
  5. Step 5: Solve for x
    x = 163,149,966,732.23/585,187.77
  6. Step 6: Final answer
    x = 278,799.34

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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.