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Finding the Fourth Proportional to 585,046.72, 877,601.28 and 185,718.40

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Solution

The fourth proportional to 585,046.72, 877,601.28 and 185,718.40 is: 278,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,046.72 : 877,601.28 = 185,718.40 : x
  2. Step 2: Convert to fraction form
    585,046.72/877,601.28 = 185,718.40/x
  3. Step 3: Cross multiply
    585,046.72x = 877,601.28 × 185,718.40
  4. Step 4: Simplify right side
    585,046.72x = 162,986,705,559.55
  5. Step 5: Solve for x
    x = 162,986,705,559.55/585,046.72
  6. Step 6: Final answer
    x = 278,587.50

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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.