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Finding the Fourth Proportional to 362,842.60, 500,686.50 and 209,869.24

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Solution

The fourth proportional to 362,842.60, 500,686.50 and 209,869.24 is: 289,598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,842.60 : 500,686.50 = 209,869.24 : x
  2. Step 2: Convert to fraction form
    362,842.60/500,686.50 = 209,869.24/x
  3. Step 3: Cross multiply
    362,842.60x = 500,686.50 × 209,869.24
  4. Step 4: Simplify right side
    362,842.60x = 105,078,695,233.26
  5. Step 5: Solve for x
    x = 105,078,695,233.26/362,842.60
  6. Step 6: Final answer
    x = 289,598.56

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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.