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Finding the Fourth Proportional to 504,356.76, 756,533.76 and 149,398.46

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Solution

The fourth proportional to 504,356.76, 756,533.76 and 149,398.46 is: 224,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,356.76 : 756,533.76 = 149,398.46 : x
  2. Step 2: Convert to fraction form
    504,356.76/756,533.76 = 149,398.46/x
  3. Step 3: Cross multiply
    504,356.76x = 756,533.76 × 149,398.46
  4. Step 4: Simplify right side
    504,356.76x = 113,024,978,682.01
  5. Step 5: Solve for x
    x = 113,024,978,682.01/504,356.76
  6. Step 6: Final answer
    x = 224,097.28

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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.