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Finding the Fourth Proportional to 559,667.64, 772,247.07 and 314,619.96

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Solution

The fourth proportional to 559,667.64, 772,247.07 and 314,619.96 is: 434,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,667.64 : 772,247.07 = 314,619.96 : x
  2. Step 2: Convert to fraction form
    559,667.64/772,247.07 = 314,619.96/x
  3. Step 3: Cross multiply
    559,667.64x = 772,247.07 × 314,619.96
  4. Step 4: Simplify right side
    559,667.64x = 242,964,342,273.52
  5. Step 5: Solve for x
    x = 242,964,342,273.52/559,667.64
  6. Step 6: Final answer
    x = 434,122.55

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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.