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Finding the Fourth Proportional to 406,357, 609,486.97 and 106,860.91

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Solution

The fourth proportional to 406,357, 609,486.97 and 106,860.91 is: 160,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,357 : 609,486.97 = 106,860.91 : x
  2. Step 2: Convert to fraction form
    406,357/609,486.97 = 106,860.91/x
  3. Step 3: Cross multiply
    406,357x = 609,486.97 × 106,860.91
  4. Step 4: Simplify right side
    406,357x = 65,130,332,247.34
  5. Step 5: Solve for x
    x = 65,130,332,247.34/406,357
  6. Step 6: Final answer
    x = 160,278.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.