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Finding the Fourth Proportional to 590,272.80, 884,077.02 and 413,568.60

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Solution

The fourth proportional to 590,272.80, 884,077.02 and 413,568.60 is: 619,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,272.80 : 884,077.02 = 413,568.60 : x
  2. Step 2: Convert to fraction form
    590,272.80/884,077.02 = 413,568.60/x
  3. Step 3: Cross multiply
    590,272.80x = 884,077.02 × 413,568.60
  4. Step 4: Simplify right side
    590,272.80x = 365,626,495,453.57
  5. Step 5: Solve for x
    x = 365,626,495,453.57/590,272.80
  6. Step 6: Final answer
    x = 619,419.52

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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.