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Finding the Fourth Proportional to 563,729.80, 844,417.10 and 264,465.80

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Solution

The fourth proportional to 563,729.80, 844,417.10 and 264,465.80 is: 396,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,729.80 : 844,417.10 = 264,465.80 : x
  2. Step 2: Convert to fraction form
    563,729.80/844,417.10 = 264,465.80/x
  3. Step 3: Cross multiply
    563,729.80x = 844,417.10 × 264,465.80
  4. Step 4: Simplify right side
    563,729.80x = 223,319,443,885.18
  5. Step 5: Solve for x
    x = 223,319,443,885.18/563,729.80
  6. Step 6: Final answer
    x = 396,146.25

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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.