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Finding the Fourth Proportional to 305,024.16, 420,948.84 and 175,914.62

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Solution

The fourth proportional to 305,024.16, 420,948.84 and 175,914.62 is: 242,771.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,024.16 : 420,948.84 = 175,914.62 : x
  2. Step 2: Convert to fraction form
    305,024.16/420,948.84 = 175,914.62/x
  3. Step 3: Cross multiply
    305,024.16x = 420,948.84 × 175,914.62
  4. Step 4: Simplify right side
    305,024.16x = 74,051,055,228.04
  5. Step 5: Solve for x
    x = 74,051,055,228.04/305,024.16
  6. Step 6: Final answer
    x = 242,771.11

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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.