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Finding the Fourth Proportional to 376,878.06, 565,247.36 and 171,664.32

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Solution

The fourth proportional to 376,878.06, 565,247.36 and 171,664.32 is: 257,464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,878.06 : 565,247.36 = 171,664.32 : x
  2. Step 2: Convert to fraction form
    376,878.06/565,247.36 = 171,664.32/x
  3. Step 3: Cross multiply
    376,878.06x = 565,247.36 × 171,664.32
  4. Step 4: Simplify right side
    376,878.06x = 97,032,803,686.20
  5. Step 5: Solve for x
    x = 97,032,803,686.20/376,878.06
  6. Step 6: Final answer
    x = 257,464.72

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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.