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Finding the Fourth Proportional to 565,156, 779,464.16 and 371,762.24

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Solution

The fourth proportional to 565,156, 779,464.16 and 371,762.24 is: 512,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,156 : 779,464.16 = 371,762.24 : x
  2. Step 2: Convert to fraction form
    565,156/779,464.16 = 371,762.24/x
  3. Step 3: Cross multiply
    565,156x = 779,464.16 × 371,762.24
  4. Step 4: Simplify right side
    565,156x = 289,775,342,121.32
  5. Step 5: Solve for x
    x = 289,775,342,121.32/565,156
  6. Step 6: Final answer
    x = 512,735.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.