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Finding the Fourth Proportional to 433,881.60, 650,822.40 and 413,145.60

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Solution

The fourth proportional to 433,881.60, 650,822.40 and 413,145.60 is: 619,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,881.60 : 650,822.40 = 413,145.60 : x
  2. Step 2: Convert to fraction form
    433,881.60/650,822.40 = 413,145.60/x
  3. Step 3: Cross multiply
    433,881.60x = 650,822.40 × 413,145.60
  4. Step 4: Simplify right side
    433,881.60x = 268,884,410,941.44
  5. Step 5: Solve for x
    x = 268,884,410,941.44/433,881.60
  6. Step 6: Final answer
    x = 619,718.40

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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.