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Finding the Fourth Proportional to 473,641.31, 653,634.41 and 258,794.70

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Solution

The fourth proportional to 473,641.31, 653,634.41 and 258,794.70 is: 357,141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,641.31 : 653,634.41 = 258,794.70 : x
  2. Step 2: Convert to fraction form
    473,641.31/653,634.41 = 258,794.70/x
  3. Step 3: Cross multiply
    473,641.31x = 653,634.41 × 258,794.70
  4. Step 4: Simplify right side
    473,641.31x = 169,157,119,751.65
  5. Step 5: Solve for x
    x = 169,157,119,751.65/473,641.31
  6. Step 6: Final answer
    x = 357,141.82

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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.