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Finding the Fourth Proportional to 510,004.49, 703,834.20 and 295,213.74

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Solution

The fourth proportional to 510,004.49, 703,834.20 and 295,213.74 is: 407,411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,004.49 : 703,834.20 = 295,213.74 : x
  2. Step 2: Convert to fraction form
    510,004.49/703,834.20 = 295,213.74/x
  3. Step 3: Cross multiply
    510,004.49x = 703,834.20 × 295,213.74
  4. Step 4: Simplify right side
    510,004.49x = 207,781,526,521.91
  5. Step 5: Solve for x
    x = 207,781,526,521.91/510,004.49
  6. Step 6: Final answer
    x = 407,411.18

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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.