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Finding the Fourth Proportional to 566,697, 782,023.50 and 312,041.64

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Solution

The fourth proportional to 566,697, 782,023.50 and 312,041.64 is: 430,607.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,697 : 782,023.50 = 312,041.64 : x
  2. Step 2: Convert to fraction form
    566,697/782,023.50 = 312,041.64/x
  3. Step 3: Cross multiply
    566,697x = 782,023.50 × 312,041.64
  4. Step 4: Simplify right side
    566,697x = 244,023,895,458.54
  5. Step 5: Solve for x
    x = 244,023,895,458.54/566,697
  6. Step 6: Final answer
    x = 430,607.35

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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.