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Finding the Fourth Proportional to 594,460.80, 820,337.76 and 424,978.56

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Solution

The fourth proportional to 594,460.80, 820,337.76 and 424,978.56 is: 586,457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,460.80 : 820,337.76 = 424,978.56 : x
  2. Step 2: Convert to fraction form
    594,460.80/820,337.76 = 424,978.56/x
  3. Step 3: Cross multiply
    594,460.80x = 820,337.76 × 424,978.56
  4. Step 4: Simplify right side
    594,460.80x = 348,625,959,958.43
  5. Step 5: Solve for x
    x = 348,625,959,958.43/594,460.80
  6. Step 6: Final answer
    x = 586,457.44

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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.