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Finding the Fourth Proportional to 519,610.14, 717,054.93 and 290,171.16

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Solution

The fourth proportional to 519,610.14, 717,054.93 and 290,171.16 is: 400,432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,610.14 : 717,054.93 = 290,171.16 : x
  2. Step 2: Convert to fraction form
    519,610.14/717,054.93 = 290,171.16/x
  3. Step 3: Cross multiply
    519,610.14x = 717,054.93 × 290,171.16
  4. Step 4: Simplify right side
    519,610.14x = 208,068,660,821.82
  5. Step 5: Solve for x
    x = 208,068,660,821.82/519,610.14
  6. Step 6: Final answer
    x = 400,432.26

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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.