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Finding the Fourth Proportional to 510,470.11, 765,740.40 and 173,373.22

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Solution

The fourth proportional to 510,470.11, 765,740.40 and 173,373.22 is: 260,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,470.11 : 765,740.40 = 173,373.22 : x
  2. Step 2: Convert to fraction form
    510,470.11/765,740.40 = 173,373.22/x
  3. Step 3: Cross multiply
    510,470.11x = 765,740.40 × 173,373.22
  4. Step 4: Simplify right side
    510,470.11x = 132,758,878,832.09
  5. Step 5: Solve for x
    x = 132,758,878,832.09/510,470.11
  6. Step 6: Final answer
    x = 260,071.80

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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.