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Finding the Fourth Proportional to 510,852.10, 766,341.77 and 173,866.86

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Solution

The fourth proportional to 510,852.10, 766,341.77 and 173,866.86 is: 260,821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,852.10 : 766,341.77 = 173,866.86 : x
  2. Step 2: Convert to fraction form
    510,852.10/766,341.77 = 173,866.86/x
  3. Step 3: Cross multiply
    510,852.10x = 766,341.77 × 173,866.86
  4. Step 4: Simplify right side
    510,852.10x = 133,241,437,236.74
  5. Step 5: Solve for x
    x = 133,241,437,236.74/510,852.10
  6. Step 6: Final answer
    x = 260,821.94

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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.