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Finding the Fourth Proportional to 590,304.32, 814,616.13 and 335,655.50

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Solution

The fourth proportional to 590,304.32, 814,616.13 and 335,655.50 is: 463,202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,304.32 : 814,616.13 = 335,655.50 : x
  2. Step 2: Convert to fraction form
    590,304.32/814,616.13 = 335,655.50/x
  3. Step 3: Cross multiply
    590,304.32x = 814,616.13 × 335,655.50
  4. Step 4: Simplify right side
    590,304.32x = 273,430,384,423.22
  5. Step 5: Solve for x
    x = 273,430,384,423.22/590,304.32
  6. Step 6: Final answer
    x = 463,202.41

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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.