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Finding the Fourth Proportional to 564,114.81, 846,172.53 and 280,001.64

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Solution

The fourth proportional to 564,114.81, 846,172.53 and 280,001.64 is: 420,002.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,114.81 : 846,172.53 = 280,001.64 : x
  2. Step 2: Convert to fraction form
    564,114.81/846,172.53 = 280,001.64/x
  3. Step 3: Cross multiply
    564,114.81x = 846,172.53 × 280,001.64
  4. Step 4: Simplify right side
    564,114.81x = 236,929,696,122.95
  5. Step 5: Solve for x
    x = 236,929,696,122.95/564,114.81
  6. Step 6: Final answer
    x = 420,002.62

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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.