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Finding the Fourth Proportional to 333,886.60, 500,829.90 and 209,470.60

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Solution

The fourth proportional to 333,886.60, 500,829.90 and 209,470.60 is: 314,205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,886.60 : 500,829.90 = 209,470.60 : x
  2. Step 2: Convert to fraction form
    333,886.60/500,829.90 = 209,470.60/x
  3. Step 3: Cross multiply
    333,886.60x = 500,829.90 × 209,470.60
  4. Step 4: Simplify right side
    333,886.60x = 104,909,139,650.94
  5. Step 5: Solve for x
    x = 104,909,139,650.94/333,886.60
  6. Step 6: Final answer
    x = 314,205.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.