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Finding the Fourth Proportional to 294,778.96, 442,254.48 and 95,095.24

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Solution

The fourth proportional to 294,778.96, 442,254.48 and 95,095.24 is: 142,670.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,778.96 : 442,254.48 = 95,095.24 : x
  2. Step 2: Convert to fraction form
    294,778.96/442,254.48 = 95,095.24/x
  3. Step 3: Cross multiply
    294,778.96x = 442,254.48 × 95,095.24
  4. Step 4: Simplify right side
    294,778.96x = 42,056,295,916.68
  5. Step 5: Solve for x
    x = 42,056,295,916.68/294,778.96
  6. Step 6: Final answer
    x = 142,670.62

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1.5x scale

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.