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Finding the Fourth Proportional to 290,228.20, 400,598.66 and 175,507

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Solution

The fourth proportional to 290,228.20, 400,598.66 and 175,507 is: 242,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,228.20 : 400,598.66 = 175,507 : x
  2. Step 2: Convert to fraction form
    290,228.20/400,598.66 = 175,507/x
  3. Step 3: Cross multiply
    290,228.20x = 400,598.66 × 175,507
  4. Step 4: Simplify right side
    290,228.20x = 70,307,869,020.62
  5. Step 5: Solve for x
    x = 70,307,869,020.62/290,228.20
  6. Step 6: Final answer
    x = 242,250.30

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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.