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Finding the Fourth Proportional to 652,165.92, 899,606.72 and 410,064.80

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Solution

The fourth proportional to 652,165.92, 899,606.72 and 410,064.80 is: 565,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,165.92 : 899,606.72 = 410,064.80 : x
  2. Step 2: Convert to fraction form
    652,165.92/899,606.72 = 410,064.80/x
  3. Step 3: Cross multiply
    652,165.92x = 899,606.72 × 410,064.80
  4. Step 4: Simplify right side
    652,165.92x = 368,897,049,715.46
  5. Step 5: Solve for x
    x = 368,897,049,715.46/652,165.92
  6. Step 6: Final answer
    x = 565,649.08

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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.