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Finding the Fourth Proportional to 504,101.77, 754,375.70 and 314,651.07

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Solution

The fourth proportional to 504,101.77, 754,375.70 and 314,651.07 is: 470,867.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,101.77 : 754,375.70 = 314,651.07 : x
  2. Step 2: Convert to fraction form
    504,101.77/754,375.70 = 314,651.07/x
  3. Step 3: Cross multiply
    504,101.77x = 754,375.70 × 314,651.07
  4. Step 4: Simplify right side
    504,101.77x = 237,365,121,973.63
  5. Step 5: Solve for x
    x = 237,365,121,973.63/504,101.77
  6. Step 6: Final answer
    x = 470,867.47

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Why These Related Problems?

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