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Finding the Fourth Proportional to 600,783.60, 829,086.53 and 342,673.66

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Solution

The fourth proportional to 600,783.60, 829,086.53 and 342,673.66 is: 472,892.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,783.60 : 829,086.53 = 342,673.66 : x
  2. Step 2: Convert to fraction form
    600,783.60/829,086.53 = 342,673.66/x
  3. Step 3: Cross multiply
    600,783.60x = 829,086.53 × 342,673.66
  4. Step 4: Simplify right side
    600,783.60x = 284,106,115,691.80
  5. Step 5: Solve for x
    x = 284,106,115,691.80/600,783.60
  6. Step 6: Final answer
    x = 472,892.60

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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.