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Finding the Fourth Proportional to 289,678.40, 434,560.80 and 102,675.20

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Solution

The fourth proportional to 289,678.40, 434,560.80 and 102,675.20 is: 154,028.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,678.40 : 434,560.80 = 102,675.20 : x
  2. Step 2: Convert to fraction form
    289,678.40/434,560.80 = 102,675.20/x
  3. Step 3: Cross multiply
    289,678.40x = 434,560.80 × 102,675.20
  4. Step 4: Simplify right side
    289,678.40x = 44,618,617,052.16
  5. Step 5: Solve for x
    x = 44,618,617,052.16/289,678.40
  6. Step 6: Final answer
    x = 154,028.11

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Why These Related Problems?

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