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Finding the Fourth Proportional to 415,708.80, 623,563.20 and 135,254.40

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Solution

The fourth proportional to 415,708.80, 623,563.20 and 135,254.40 is: 202,881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,708.80 : 623,563.20 = 135,254.40 : x
  2. Step 2: Convert to fraction form
    415,708.80/623,563.20 = 135,254.40/x
  3. Step 3: Cross multiply
    415,708.80x = 623,563.20 × 135,254.40
  4. Step 4: Simplify right side
    415,708.80x = 84,339,666,478.08
  5. Step 5: Solve for x
    x = 84,339,666,478.08/415,708.80
  6. Step 6: Final answer
    x = 202,881.60

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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.