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Finding the Fourth Proportional to 556,027.52, 767,309.67 and 314,301.65

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Solution

The fourth proportional to 556,027.52, 767,309.67 and 314,301.65 is: 433,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,027.52 : 767,309.67 = 314,301.65 : x
  2. Step 2: Convert to fraction form
    556,027.52/767,309.67 = 314,301.65/x
  3. Step 3: Cross multiply
    556,027.52x = 767,309.67 × 314,301.65
  4. Step 4: Simplify right side
    556,027.52x = 241,166,691,505.41
  5. Step 5: Solve for x
    x = 241,166,691,505.41/556,027.52
  6. Step 6: Final answer
    x = 433,731.58

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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.