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Finding the Fourth Proportional to 653,540.40, 977,686.20 and 565,768.80

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Solution

The fourth proportional to 653,540.40, 977,686.20 and 565,768.80 is: 846,381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,540.40 : 977,686.20 = 565,768.80 : x
  2. Step 2: Convert to fraction form
    653,540.40/977,686.20 = 565,768.80/x
  3. Step 3: Cross multiply
    653,540.40x = 977,686.20 × 565,768.80
  4. Step 4: Simplify right side
    653,540.40x = 553,144,348,150.56
  5. Step 5: Solve for x
    x = 553,144,348,150.56/653,540.40
  6. Step 6: Final answer
    x = 846,381.26

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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.