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Finding the Fourth Proportional to 307,009.85, 460,514.80 and 93,769.15

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Solution

The fourth proportional to 307,009.85, 460,514.80 and 93,769.15 is: 140,653.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,009.85 : 460,514.80 = 93,769.15 : x
  2. Step 2: Convert to fraction form
    307,009.85/460,514.80 = 93,769.15/x
  3. Step 3: Cross multiply
    307,009.85x = 460,514.80 × 93,769.15
  4. Step 4: Simplify right side
    307,009.85x = 43,182,081,358.42
  5. Step 5: Solve for x
    x = 43,182,081,358.42/307,009.85
  6. Step 6: Final answer
    x = 140,653.73

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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.