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Finding the Fourth Proportional to 652,003.10, 899,807.46 and 365,541.74

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Solution

The fourth proportional to 652,003.10, 899,807.46 and 365,541.74 is: 504,471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,003.10 : 899,807.46 = 365,541.74 : x
  2. Step 2: Convert to fraction form
    652,003.10/899,807.46 = 365,541.74/x
  3. Step 3: Cross multiply
    652,003.10x = 899,807.46 × 365,541.74
  4. Step 4: Simplify right side
    652,003.10x = 328,917,184,593.38
  5. Step 5: Solve for x
    x = 328,917,184,593.38/652,003.10
  6. Step 6: Final answer
    x = 504,471.81

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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.