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Finding the Fourth Proportional to 316,140.64, 474,210.42 and 147,604.48

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Solution

The fourth proportional to 316,140.64, 474,210.42 and 147,604.48 is: 221,406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,140.64 : 474,210.42 = 147,604.48 : x
  2. Step 2: Convert to fraction form
    316,140.64/474,210.42 = 147,604.48/x
  3. Step 3: Cross multiply
    316,140.64x = 474,210.42 × 147,604.48
  4. Step 4: Simplify right side
    316,140.64x = 69,995,582,454.68
  5. Step 5: Solve for x
    x = 69,995,582,454.68/316,140.64
  6. Step 6: Final answer
    x = 221,406.47

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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.