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Finding the Fourth Proportional to 465,669.54, 698,508.63 and 185,258.34

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Solution

The fourth proportional to 465,669.54, 698,508.63 and 185,258.34 is: 277,889.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,669.54 : 698,508.63 = 185,258.34 : x
  2. Step 2: Convert to fraction form
    465,669.54/698,508.63 = 185,258.34/x
  3. Step 3: Cross multiply
    465,669.54x = 698,508.63 × 185,258.34
  4. Step 4: Simplify right side
    465,669.54x = 129,404,549,269.47
  5. Step 5: Solve for x
    x = 129,404,549,269.47/465,669.54
  6. Step 6: Final answer
    x = 277,889.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.