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Finding the Fourth Proportional to 316,392, 474,593.94 and 147,866.10

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Solution

The fourth proportional to 316,392, 474,593.94 and 147,866.10 is: 221,801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,392 : 474,593.94 = 147,866.10 : x
  2. Step 2: Convert to fraction form
    316,392/474,593.94 = 147,866.10/x
  3. Step 3: Cross multiply
    316,392x = 474,593.94 × 147,866.10
  4. Step 4: Simplify right side
    316,392x = 70,176,354,991.43
  5. Step 5: Solve for x
    x = 70,176,354,991.43/316,392
  6. Step 6: Final answer
    x = 221,801.93

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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.