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Finding the Fourth Proportional to 404,459.42, 558,203.38 and 232,377

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Solution

The fourth proportional to 404,459.42, 558,203.38 and 232,377 is: 320,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,459.42 : 558,203.38 = 232,377 : x
  2. Step 2: Convert to fraction form
    404,459.42/558,203.38 = 232,377/x
  3. Step 3: Cross multiply
    404,459.42x = 558,203.38 × 232,377
  4. Step 4: Simplify right side
    404,459.42x = 129,713,626,834.26
  5. Step 5: Solve for x
    x = 129,713,626,834.26/404,459.42
  6. Step 6: Final answer
    x = 320,708.63

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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.