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Finding the Fourth Proportional to 316,015.16, 474,069.95 and 116,320.37

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Solution

The fourth proportional to 316,015.16, 474,069.95 and 116,320.37 is: 174,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,015.16 : 474,069.95 = 116,320.37 : x
  2. Step 2: Convert to fraction form
    316,015.16/474,069.95 = 116,320.37/x
  3. Step 3: Cross multiply
    316,015.16x = 474,069.95 × 116,320.37
  4. Step 4: Simplify right side
    316,015.16x = 55,143,990,513.91
  5. Step 5: Solve for x
    x = 55,143,990,513.91/316,015.16
  6. Step 6: Final answer
    x = 174,497.93

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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.