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Finding the Fourth Proportional to 501,097.20, 751,645.80 and 465,667.80

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Solution

The fourth proportional to 501,097.20, 751,645.80 and 465,667.80 is: 698,501.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,097.20 : 751,645.80 = 465,667.80 : x
  2. Step 2: Convert to fraction form
    501,097.20/751,645.80 = 465,667.80/x
  3. Step 3: Cross multiply
    501,097.20x = 751,645.80 × 465,667.80
  4. Step 4: Simplify right side
    501,097.20x = 350,017,246,065.24
  5. Step 5: Solve for x
    x = 350,017,246,065.24/501,097.20
  6. Step 6: Final answer
    x = 698,501.70

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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.