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Finding the Fourth Proportional to 510,064.98, 703,878.30 and 295,200.74

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Solution

The fourth proportional to 510,064.98, 703,878.30 and 295,200.74 is: 407,370.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,064.98 : 703,878.30 = 295,200.74 : x
  2. Step 2: Convert to fraction form
    510,064.98/703,878.30 = 295,200.74/x
  3. Step 3: Cross multiply
    510,064.98x = 703,878.30 × 295,200.74
  4. Step 4: Simplify right side
    510,064.98x = 207,785,391,510.55
  5. Step 5: Solve for x
    x = 207,785,391,510.55/510,064.98
  6. Step 6: Final answer
    x = 407,370.43

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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.