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Finding the Fourth Proportional to 473,643.33, 653,620.05 and 258,778.77

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Solution

The fourth proportional to 473,643.33, 653,620.05 and 258,778.77 is: 357,110.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,643.33 : 653,620.05 = 258,778.77 : x
  2. Step 2: Convert to fraction form
    473,643.33/653,620.05 = 258,778.77/x
  3. Step 3: Cross multiply
    473,643.33x = 653,620.05 × 258,778.77
  4. Step 4: Simplify right side
    473,643.33x = 169,142,992,586.34
  5. Step 5: Solve for x
    x = 169,142,992,586.34/473,643.33
  6. Step 6: Final answer
    x = 357,110.47

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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.