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Finding the Fourth Proportional to 601,542.48, 830,073.42 and 346,844.46

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Solution

The fourth proportional to 601,542.48, 830,073.42 and 346,844.46 is: 478,613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,542.48 : 830,073.42 = 346,844.46 : x
  2. Step 2: Convert to fraction form
    601,542.48/830,073.42 = 346,844.46/x
  3. Step 3: Cross multiply
    601,542.48x = 830,073.42 × 346,844.46
  4. Step 4: Simplify right side
    601,542.48x = 287,906,367,120.25
  5. Step 5: Solve for x
    x = 287,906,367,120.25/601,542.48
  6. Step 6: Final answer
    x = 478,613.53

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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.