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Finding the Fourth Proportional to 571,115.04, 856,714.64 and 150,388

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Solution

The fourth proportional to 571,115.04, 856,714.64 and 150,388 is: 225,593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,115.04 : 856,714.64 = 150,388 : x
  2. Step 2: Convert to fraction form
    571,115.04/856,714.64 = 150,388/x
  3. Step 3: Cross multiply
    571,115.04x = 856,714.64 × 150,388
  4. Step 4: Simplify right side
    571,115.04x = 128,839,601,280.32
  5. Step 5: Solve for x
    x = 128,839,601,280.32/571,115.04
  6. Step 6: Final answer
    x = 225,593.08

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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.