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Finding the Fourth Proportional to 653,552.40, 977,704.20 and 565,780.80

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Solution

The fourth proportional to 653,552.40, 977,704.20 and 565,780.80 is: 846,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,552.40 : 977,704.20 = 565,780.80 : x
  2. Step 2: Convert to fraction form
    653,552.40/977,704.20 = 565,780.80/x
  3. Step 3: Cross multiply
    653,552.40x = 977,704.20 × 565,780.80
  4. Step 4: Simplify right side
    653,552.40x = 553,166,264,439.36
  5. Step 5: Solve for x
    x = 553,166,264,439.36/653,552.40
  6. Step 6: Final answer
    x = 846,399.25

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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.