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Finding the Fourth Proportional to 532,578.34, 799,114.48 and 233,019.42

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Solution

The fourth proportional to 532,578.34, 799,114.48 and 233,019.42 is: 349,637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,578.34 : 799,114.48 = 233,019.42 : x
  2. Step 2: Convert to fraction form
    532,578.34/799,114.48 = 233,019.42/x
  3. Step 3: Cross multiply
    532,578.34x = 799,114.48 × 233,019.42
  4. Step 4: Simplify right side
    532,578.34x = 186,209,192,643.20
  5. Step 5: Solve for x
    x = 186,209,192,643.20/532,578.34
  6. Step 6: Final answer
    x = 349,637.19

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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.