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Finding the Fourth Proportional to 295,641.92, 407,971.20 and 168,305.60

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Solution

The fourth proportional to 295,641.92, 407,971.20 and 168,305.60 is: 232,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,641.92 : 407,971.20 = 168,305.60 : x
  2. Step 2: Convert to fraction form
    295,641.92/407,971.20 = 168,305.60/x
  3. Step 3: Cross multiply
    295,641.92x = 407,971.20 × 168,305.60
  4. Step 4: Simplify right side
    295,641.92x = 68,663,837,598.72
  5. Step 5: Solve for x
    x = 68,663,837,598.72/295,641.92
  6. Step 6: Final answer
    x = 232,253.39

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1.5x scale

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.