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Finding the Fourth Proportional to 652,158.92, 899,597.06 and 410,057.80

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Solution

The fourth proportional to 652,158.92, 899,597.06 and 410,057.80 is: 565,639.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,158.92 : 899,597.06 = 410,057.80 : x
  2. Step 2: Convert to fraction form
    652,158.92/899,597.06 = 410,057.80/x
  3. Step 3: Cross multiply
    652,158.92x = 899,597.06 × 410,057.80
  4. Step 4: Simplify right side
    652,158.92x = 368,886,791,310.07
  5. Step 5: Solve for x
    x = 368,886,791,310.07/652,158.92
  6. Step 6: Final answer
    x = 565,639.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.