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Finding the Fourth Proportional to 532,223.40, 797,168.70 and 282,613.80

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Solution

The fourth proportional to 532,223.40, 797,168.70 and 282,613.80 is: 423,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,223.40 : 797,168.70 = 282,613.80 : x
  2. Step 2: Convert to fraction form
    532,223.40/797,168.70 = 282,613.80/x
  3. Step 3: Cross multiply
    532,223.40x = 797,168.70 × 282,613.80
  4. Step 4: Simplify right side
    532,223.40x = 225,290,875,548.06
  5. Step 5: Solve for x
    x = 225,290,875,548.06/532,223.40
  6. Step 6: Final answer
    x = 423,301.33

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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.