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Finding the Fourth Proportional to 535,577.76, 801,447.12 and 463,777.86

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Solution

The fourth proportional to 535,577.76, 801,447.12 and 463,777.86 is: 694,004.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,577.76 : 801,447.12 = 463,777.86 : x
  2. Step 2: Convert to fraction form
    535,577.76/801,447.12 = 463,777.86/x
  3. Step 3: Cross multiply
    535,577.76x = 801,447.12 × 463,777.86
  4. Step 4: Simplify right side
    535,577.76x = 371,693,430,216.76
  5. Step 5: Solve for x
    x = 371,693,430,216.76/535,577.76
  6. Step 6: Final answer
    x = 694,004.60

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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.