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Finding the Fourth Proportional to 433,717.64, 650,798.84 and 209,269.47

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Solution

The fourth proportional to 433,717.64, 650,798.84 and 209,269.47 is: 314,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,717.64 : 650,798.84 = 209,269.47 : x
  2. Step 2: Convert to fraction form
    433,717.64/650,798.84 = 209,269.47/x
  3. Step 3: Cross multiply
    433,717.64x = 650,798.84 × 209,269.47
  4. Step 4: Simplify right side
    433,717.64x = 136,192,328,323.42
  5. Step 5: Solve for x
    x = 136,192,328,323.42/433,717.64
  6. Step 6: Final answer
    x = 314,011.50

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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.