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Finding the Fourth Proportional to 312,514.42, 431,239.08 and 174,667.90

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Solution

The fourth proportional to 312,514.42, 431,239.08 and 174,667.90 is: 241,024.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,514.42 : 431,239.08 = 174,667.90 : x
  2. Step 2: Convert to fraction form
    312,514.42/431,239.08 = 174,667.90/x
  3. Step 3: Cross multiply
    312,514.42x = 431,239.08 × 174,667.90
  4. Step 4: Simplify right side
    312,514.42x = 75,323,624,501.53
  5. Step 5: Solve for x
    x = 75,323,624,501.53/312,514.42
  6. Step 6: Final answer
    x = 241,024.48

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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.