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Finding the Fourth Proportional to 473,765.28, 653,797.80 and 258,908.64

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Solution

The fourth proportional to 473,765.28, 653,797.80 and 258,908.64 is: 357,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,765.28 : 653,797.80 = 258,908.64 : x
  2. Step 2: Convert to fraction form
    473,765.28/653,797.80 = 258,908.64/x
  3. Step 3: Cross multiply
    473,765.28x = 653,797.80 × 258,908.64
  4. Step 4: Simplify right side
    473,765.28x = 169,273,899,232.99
  5. Step 5: Solve for x
    x = 169,273,899,232.99/473,765.28
  6. Step 6: Final answer
    x = 357,294.86

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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.