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Finding the Fourth Proportional to 500,476.08, 750,189.24 and 234,012

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Solution

The fourth proportional to 500,476.08, 750,189.24 and 234,012 is: 350,772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,476.08 : 750,189.24 = 234,012 : x
  2. Step 2: Convert to fraction form
    500,476.08/750,189.24 = 234,012/x
  3. Step 3: Cross multiply
    500,476.08x = 750,189.24 × 234,012
  4. Step 4: Simplify right side
    500,476.08x = 175,553,284,430.88
  5. Step 5: Solve for x
    x = 175,553,284,430.88/500,476.08
  6. Step 6: Final answer
    x = 350,772.58

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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.