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Finding the Fourth Proportional to 556,605.50, 768,117.02 and 301,956.66

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Solution

The fourth proportional to 556,605.50, 768,117.02 and 301,956.66 is: 416,700.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,605.50 : 768,117.02 = 301,956.66 : x
  2. Step 2: Convert to fraction form
    556,605.50/768,117.02 = 301,956.66/x
  3. Step 3: Cross multiply
    556,605.50x = 768,117.02 × 301,956.66
  4. Step 4: Simplify right side
    556,605.50x = 231,938,048,338.57
  5. Step 5: Solve for x
    x = 231,938,048,338.57/556,605.50
  6. Step 6: Final answer
    x = 416,700.97

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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.