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Finding the Fourth Proportional to 1,002,593.22, 1,503,978.60 and 282,941.34

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Solution

The fourth proportional to 1,002,593.22, 1,503,978.60 and 282,941.34 is: 424,437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,593.22 : 1,503,978.60 = 282,941.34 : x
  2. Step 2: Convert to fraction form
    1,002,593.22/1,503,978.60 = 282,941.34/x
  3. Step 3: Cross multiply
    1,002,593.22x = 1,503,978.60 × 282,941.34
  4. Step 4: Simplify right side
    1,002,593.22x = 425,537,720,415.32
  5. Step 5: Solve for x
    x = 425,537,720,415.32/1,002,593.22
  6. Step 6: Final answer
    x = 424,437.06

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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.