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Finding the Fourth Proportional to 473,642.76, 653,619.29 and 258,778.20

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Solution

The fourth proportional to 473,642.76, 653,619.29 and 258,778.20 is: 357,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,642.76 : 653,619.29 = 258,778.20 : x
  2. Step 2: Convert to fraction form
    473,642.76/653,619.29 = 258,778.20/x
  3. Step 3: Cross multiply
    473,642.76x = 653,619.29 × 258,778.20
  4. Step 4: Simplify right side
    473,642.76x = 169,142,422,057.59
  5. Step 5: Solve for x
    x = 169,142,422,057.59/473,642.76
  6. Step 6: Final answer
    x = 357,109.70

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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.