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Finding the Fourth Proportional to 649,223.15, 978,266.15 and 533,487.11

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Solution

The fourth proportional to 649,223.15, 978,266.15 and 533,487.11 is: 803,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,223.15 : 978,266.15 = 533,487.11 : x
  2. Step 2: Convert to fraction form
    649,223.15/978,266.15 = 533,487.11/x
  3. Step 3: Cross multiply
    649,223.15x = 978,266.15 × 533,487.11
  4. Step 4: Simplify right side
    649,223.15x = 521,892,380,368.67
  5. Step 5: Solve for x
    x = 521,892,380,368.67/649,223.15
  6. Step 6: Final answer
    x = 803,872.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.