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Finding the Fourth Proportional to 534,460.50, 737,533.89 and 319,719.24

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Solution

The fourth proportional to 534,460.50, 737,533.89 and 319,719.24 is: 441,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,460.50 : 737,533.89 = 319,719.24 : x
  2. Step 2: Convert to fraction form
    534,460.50/737,533.89 = 319,719.24/x
  3. Step 3: Cross multiply
    534,460.50x = 737,533.89 × 319,719.24
  4. Step 4: Simplify right side
    534,460.50x = 235,803,774,785.04
  5. Step 5: Solve for x
    x = 235,803,774,785.04/534,460.50
  6. Step 6: Final answer
    x = 441,199.63

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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.