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Finding the Fourth Proportional to 446,008.14, 615,468.78 and 264,727.98

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Solution

The fourth proportional to 446,008.14, 615,468.78 and 264,727.98 is: 365,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,008.14 : 615,468.78 = 264,727.98 : x
  2. Step 2: Convert to fraction form
    446,008.14/615,468.78 = 264,727.98/x
  3. Step 3: Cross multiply
    446,008.14x = 615,468.78 × 264,727.98
  4. Step 4: Simplify right side
    446,008.14x = 162,931,806,882.46
  5. Step 5: Solve for x
    x = 162,931,806,882.46/446,008.14
  6. Step 6: Final answer
    x = 365,311.29

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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.