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Finding the Fourth Proportional to 510,830.40, 766,326.60 and 173,902.80

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Solution

The fourth proportional to 510,830.40, 766,326.60 and 173,902.80 is: 260,881.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,830.40 : 766,326.60 = 173,902.80 : x
  2. Step 2: Convert to fraction form
    510,830.40/766,326.60 = 173,902.80/x
  3. Step 3: Cross multiply
    510,830.40x = 766,326.60 × 173,902.80
  4. Step 4: Simplify right side
    510,830.40x = 133,266,341,454.48
  5. Step 5: Solve for x
    x = 133,266,341,454.48/510,830.40
  6. Step 6: Final answer
    x = 260,881.77

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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.