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Finding the Fourth Proportional to 289,214.40, 433,805.40 and 89,533.20

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Solution

The fourth proportional to 289,214.40, 433,805.40 and 89,533.20 is: 134,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,214.40 : 433,805.40 = 89,533.20 : x
  2. Step 2: Convert to fraction form
    289,214.40/433,805.40 = 89,533.20/x
  3. Step 3: Cross multiply
    289,214.40x = 433,805.40 × 89,533.20
  4. Step 4: Simplify right side
    289,214.40x = 38,839,985,639.28
  5. Step 5: Solve for x
    x = 38,839,985,639.28/289,214.40
  6. Step 6: Final answer
    x = 134,294.78

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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.