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Finding the Fourth Proportional to 406,768.42, 561,150.57 and 255,948.58

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Solution

The fourth proportional to 406,768.42, 561,150.57 and 255,948.58 is: 353,089.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,768.42 : 561,150.57 = 255,948.58 : x
  2. Step 2: Convert to fraction form
    406,768.42/561,150.57 = 255,948.58/x
  3. Step 3: Cross multiply
    406,768.42x = 561,150.57 × 255,948.58
  4. Step 4: Simplify right side
    406,768.42x = 143,625,691,557.69
  5. Step 5: Solve for x
    x = 143,625,691,557.69/406,768.42
  6. Step 6: Final answer
    x = 353,089.58

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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.