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Finding the Fourth Proportional to 585,108.76, 877,693.53 and 185,780.80

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Solution

The fourth proportional to 585,108.76, 877,693.53 and 185,780.80 is: 278,680.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,108.76 : 877,693.53 = 185,780.80 : x
  2. Step 2: Convert to fraction form
    585,108.76/877,693.53 = 185,780.80/x
  3. Step 3: Cross multiply
    585,108.76x = 877,693.53 × 185,780.80
  4. Step 4: Simplify right side
    585,108.76x = 163,058,606,158.22
  5. Step 5: Solve for x
    x = 163,058,606,158.22/585,108.76
  6. Step 6: Final answer
    x = 278,680.85

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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.