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Finding the Fourth Proportional to 333,930, 460,823.40 and 183,023.76

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Solution

The fourth proportional to 333,930, 460,823.40 and 183,023.76 is: 252,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,930 : 460,823.40 = 183,023.76 : x
  2. Step 2: Convert to fraction form
    333,930/460,823.40 = 183,023.76/x
  3. Step 3: Cross multiply
    333,930x = 460,823.40 × 183,023.76
  4. Step 4: Simplify right side
    333,930x = 84,341,631,363.98
  5. Step 5: Solve for x
    x = 84,341,631,363.98/333,930
  6. Step 6: Final answer
    x = 252,572.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.