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Finding the Fourth Proportional to 567,596.70, 782,647.11 and 463,909.13

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Solution

The fourth proportional to 567,596.70, 782,647.11 and 463,909.13 is: 639,674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,596.70 : 782,647.11 = 463,909.13 : x
  2. Step 2: Convert to fraction form
    567,596.70/782,647.11 = 463,909.13/x
  3. Step 3: Cross multiply
    567,596.70x = 782,647.11 × 463,909.13
  4. Step 4: Simplify right side
    567,596.70x = 363,077,139,897.11
  5. Step 5: Solve for x
    x = 363,077,139,897.11/567,596.70
  6. Step 6: Final answer
    x = 639,674.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.