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Finding the Fourth Proportional to 585,229.42, 877,868.52 and 285,352.84

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Solution

The fourth proportional to 585,229.42, 877,868.52 and 285,352.84 is: 428,041.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,229.42 : 877,868.52 = 285,352.84 : x
  2. Step 2: Convert to fraction form
    585,229.42/877,868.52 = 285,352.84/x
  3. Step 3: Cross multiply
    585,229.42x = 877,868.52 × 285,352.84
  4. Step 4: Simplify right side
    585,229.42x = 250,502,275,328.60
  5. Step 5: Solve for x
    x = 250,502,275,328.60/585,229.42
  6. Step 6: Final answer
    x = 428,041.15

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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.