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Finding the Fourth Proportional to 433,364.30, 650,046.45 and 291,646.70

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Solution

The fourth proportional to 433,364.30, 650,046.45 and 291,646.70 is: 437,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,364.30 : 650,046.45 = 291,646.70 : x
  2. Step 2: Convert to fraction form
    433,364.30/650,046.45 = 291,646.70/x
  3. Step 3: Cross multiply
    433,364.30x = 650,046.45 × 291,646.70
  4. Step 4: Simplify right side
    433,364.30x = 189,583,901,989.22
  5. Step 5: Solve for x
    x = 189,583,901,989.22/433,364.30
  6. Step 6: Final answer
    x = 437,470.05

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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.