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Finding the Fourth Proportional to 477,492.24, 658,744.90 and 270,717.06

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Solution

The fourth proportional to 477,492.24, 658,744.90 and 270,717.06 is: 373,479.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,492.24 : 658,744.90 = 270,717.06 : x
  2. Step 2: Convert to fraction form
    477,492.24/658,744.90 = 270,717.06/x
  3. Step 3: Cross multiply
    477,492.24x = 658,744.90 × 270,717.06
  4. Step 4: Simplify right side
    477,492.24x = 178,333,484,081.56
  5. Step 5: Solve for x
    x = 178,333,484,081.56/477,492.24
  6. Step 6: Final answer
    x = 373,479.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.