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Finding the Fourth Proportional to 585,925.92, 878,598.09 and 186,514.74

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Solution

The fourth proportional to 585,925.92, 878,598.09 and 186,514.74 is: 279,679.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,925.92 : 878,598.09 = 186,514.74 : x
  2. Step 2: Convert to fraction form
    585,925.92/878,598.09 = 186,514.74/x
  3. Step 3: Cross multiply
    585,925.92x = 878,598.09 × 186,514.74
  4. Step 4: Simplify right side
    585,925.92x = 163,871,494,320.85
  5. Step 5: Solve for x
    x = 163,871,494,320.85/585,925.92
  6. Step 6: Final answer
    x = 279,679.54

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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.