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Finding the Fourth Proportional to 402,085.34, 554,922.05 and 230,019.17

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Solution

The fourth proportional to 402,085.34, 554,922.05 and 230,019.17 is: 317,451.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,085.34 : 554,922.05 = 230,019.17 : x
  2. Step 2: Convert to fraction form
    402,085.34/554,922.05 = 230,019.17/x
  3. Step 3: Cross multiply
    402,085.34x = 554,922.05 × 230,019.17
  4. Step 4: Simplify right side
    402,085.34x = 127,642,705,430.99
  5. Step 5: Solve for x
    x = 127,642,705,430.99/402,085.34
  6. Step 6: Final answer
    x = 317,451.78

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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.