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Finding the Fourth Proportional to 652,002.10, 899,806.08 and 365,540.74

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Solution

The fourth proportional to 652,002.10, 899,806.08 and 365,540.74 is: 504,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,002.10 : 899,806.08 = 365,540.74 : x
  2. Step 2: Convert to fraction form
    652,002.10/899,806.08 = 365,540.74/x
  3. Step 3: Cross multiply
    652,002.10x = 899,806.08 × 365,540.74
  4. Step 4: Simplify right side
    652,002.10x = 328,915,779,460.96
  5. Step 5: Solve for x
    x = 328,915,779,460.96/652,002.10
  6. Step 6: Final answer
    x = 504,470.43

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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.