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Finding the Fourth Proportional to 769,496, 1,061,884.68 and 429,967.04

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Solution

The fourth proportional to 769,496, 1,061,884.68 and 429,967.04 is: 593,343.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,496 : 1,061,884.68 = 429,967.04 : x
  2. Step 2: Convert to fraction form
    769,496/1,061,884.68 = 429,967.04/x
  3. Step 3: Cross multiply
    769,496x = 1,061,884.68 × 429,967.04
  4. Step 4: Simplify right side
    769,496x = 456,575,412,680.95
  5. Step 5: Solve for x
    x = 456,575,412,680.95/769,496
  6. Step 6: Final answer
    x = 593,343.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.