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Finding the Fourth Proportional to 434,164.11, 650,124.57 and 299,643.27

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Solution

The fourth proportional to 434,164.11, 650,124.57 and 299,643.27 is: 448,690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,164.11 : 650,124.57 = 299,643.27 : x
  2. Step 2: Convert to fraction form
    434,164.11/650,124.57 = 299,643.27/x
  3. Step 3: Cross multiply
    434,164.11x = 650,124.57 × 299,643.27
  4. Step 4: Simplify right side
    434,164.11x = 194,805,452,062.14
  5. Step 5: Solve for x
    x = 194,805,452,062.14/434,164.11
  6. Step 6: Final answer
    x = 448,690.82

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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.