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Finding the Fourth Proportional to 650,441.88, 975,657.34 and 508,406.63

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Solution

The fourth proportional to 650,441.88, 975,657.34 and 508,406.63 is: 762,605.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,441.88 : 975,657.34 = 508,406.63 : x
  2. Step 2: Convert to fraction form
    650,441.88/975,657.34 = 508,406.63/x
  3. Step 3: Cross multiply
    650,441.88x = 975,657.34 × 508,406.63
  4. Step 4: Simplify right side
    650,441.88x = 496,030,654,114.86
  5. Step 5: Solve for x
    x = 496,030,654,114.86/650,441.88
  6. Step 6: Final answer
    x = 762,605.65

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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.