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Finding the Fourth Proportional to 310,314.72, 465,508.53 and 110,663.49

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Solution

The fourth proportional to 310,314.72, 465,508.53 and 110,663.49 is: 166,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,314.72 : 465,508.53 = 110,663.49 : x
  2. Step 2: Convert to fraction form
    310,314.72/465,508.53 = 110,663.49/x
  3. Step 3: Cross multiply
    310,314.72x = 465,508.53 × 110,663.49
  4. Step 4: Simplify right side
    310,314.72x = 51,514,798,554.57
  5. Step 5: Solve for x
    x = 51,514,798,554.57/310,314.72
  6. Step 6: Final answer
    x = 166,008.23

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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.