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Finding the Fourth Proportional to 506,456.73, 759,404.65 and 207,147.50

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Solution

The fourth proportional to 506,456.73, 759,404.65 and 207,147.50 is: 310,606.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,456.73 : 759,404.65 = 207,147.50 : x
  2. Step 2: Convert to fraction form
    506,456.73/759,404.65 = 207,147.50/x
  3. Step 3: Cross multiply
    506,456.73x = 759,404.65 × 207,147.50
  4. Step 4: Simplify right side
    506,456.73x = 157,308,774,735.88
  5. Step 5: Solve for x
    x = 157,308,774,735.88/506,456.73
  6. Step 6: Final answer
    x = 310,606.54

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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.