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Finding the Fourth Proportional to 313,589.40, 470,384.10 and 147,701.40

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Solution

The fourth proportional to 313,589.40, 470,384.10 and 147,701.40 is: 221,552.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,589.40 : 470,384.10 = 147,701.40 : x
  2. Step 2: Convert to fraction form
    313,589.40/470,384.10 = 147,701.40/x
  3. Step 3: Cross multiply
    313,589.40x = 470,384.10 × 147,701.40
  4. Step 4: Simplify right side
    313,589.40x = 69,476,390,107.74
  5. Step 5: Solve for x
    x = 69,476,390,107.74/313,589.40
  6. Step 6: Final answer
    x = 221,552.10

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1.5x scale

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.