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Finding the Fourth Proportional to 510,666.92, 766,051.14 and 195,389

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Solution

The fourth proportional to 510,666.92, 766,051.14 and 195,389 is: 293,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,666.92 : 766,051.14 = 195,389 : x
  2. Step 2: Convert to fraction form
    510,666.92/766,051.14 = 195,389/x
  3. Step 3: Cross multiply
    510,666.92x = 766,051.14 × 195,389
  4. Step 4: Simplify right side
    510,666.92x = 149,677,966,193.46
  5. Step 5: Solve for x
    x = 149,677,966,193.46/510,666.92
  6. Step 6: Final answer
    x = 293,102.92

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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.