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Finding the Fourth Proportional to 313,632.34, 470,377.58 and 145,060.17

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Solution

The fourth proportional to 313,632.34, 470,377.58 and 145,060.17 is: 217,557.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,632.34 : 470,377.58 = 145,060.17 : x
  2. Step 2: Convert to fraction form
    313,632.34/470,377.58 = 145,060.17/x
  3. Step 3: Cross multiply
    313,632.34x = 470,377.58 × 145,060.17
  4. Step 4: Simplify right side
    313,632.34x = 68,233,051,718.99
  5. Step 5: Solve for x
    x = 68,233,051,718.99/313,632.34
  6. Step 6: Final answer
    x = 217,557.45

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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.