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Finding the Fourth Proportional to 510,714.75, 766,218.29 and 173,829.63

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Solution

The fourth proportional to 510,714.75, 766,218.29 and 173,829.63 is: 260,794.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,714.75 : 766,218.29 = 173,829.63 : x
  2. Step 2: Convert to fraction form
    510,714.75/766,218.29 = 173,829.63/x
  3. Step 3: Cross multiply
    510,714.75x = 766,218.29 × 173,829.63
  4. Step 4: Simplify right side
    510,714.75x = 133,191,440,980.79
  5. Step 5: Solve for x
    x = 133,191,440,980.79/510,714.75
  6. Step 6: Final answer
    x = 260,794.19

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1.5x scale

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.