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Finding the Fourth Proportional to 514,044, 770,150.16 and 438,396.66

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Solution

The fourth proportional to 514,044, 770,150.16 and 438,396.66 is: 656,813.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,044 : 770,150.16 = 438,396.66 : x
  2. Step 2: Convert to fraction form
    514,044/770,150.16 = 438,396.66/x
  3. Step 3: Cross multiply
    514,044x = 770,150.16 × 438,396.66
  4. Step 4: Simplify right side
    514,044x = 337,631,257,842.47
  5. Step 5: Solve for x
    x = 337,631,257,842.47/514,044
  6. Step 6: Final answer
    x = 656,813.93

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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.