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Finding the Fourth Proportional to 522,161.95, 783,090.98 and 202,242.47

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Solution

The fourth proportional to 522,161.95, 783,090.98 and 202,242.47 is: 303,304.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,161.95 : 783,090.98 = 202,242.47 : x
  2. Step 2: Convert to fraction form
    522,161.95/783,090.98 = 202,242.47/x
  3. Step 3: Cross multiply
    522,161.95x = 783,090.98 × 202,242.47
  4. Step 4: Simplify right side
    522,161.95x = 158,374,249,861.66
  5. Step 5: Solve for x
    x = 158,374,249,861.66/522,161.95
  6. Step 6: Final answer
    x = 303,304.85

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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.