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Finding the Fourth Proportional to 314,018.42, 471,227.43 and 114,319.40

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Solution

The fourth proportional to 314,018.42, 471,227.43 and 114,319.40 is: 171,551.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,018.42 : 471,227.43 = 114,319.40 : x
  2. Step 2: Convert to fraction form
    314,018.42/471,227.43 = 114,319.40/x
  3. Step 3: Cross multiply
    314,018.42x = 471,227.43 × 114,319.40
  4. Step 4: Simplify right side
    314,018.42x = 53,870,437,061.14
  5. Step 5: Solve for x
    x = 53,870,437,061.14/314,018.42
  6. Step 6: Final answer
    x = 171,551.84

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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.