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Finding the Fourth Proportional to 402,377.40, 603,566.10 and 262,409.40

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Solution

The fourth proportional to 402,377.40, 603,566.10 and 262,409.40 is: 393,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,377.40 : 603,566.10 = 262,409.40 : x
  2. Step 2: Convert to fraction form
    402,377.40/603,566.10 = 262,409.40/x
  3. Step 3: Cross multiply
    402,377.40x = 603,566.10 × 262,409.40
  4. Step 4: Simplify right side
    402,377.40x = 158,381,418,161.34
  5. Step 5: Solve for x
    x = 158,381,418,161.34/402,377.40
  6. Step 6: Final answer
    x = 393,614.10

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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.