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Finding the Fourth Proportional to 584,783.52, 806,864.40 and 343,053.60

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Solution

The fourth proportional to 584,783.52, 806,864.40 and 343,053.60 is: 473,333.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,783.52 : 806,864.40 = 343,053.60 : x
  2. Step 2: Convert to fraction form
    584,783.52/806,864.40 = 343,053.60/x
  3. Step 3: Cross multiply
    584,783.52x = 806,864.40 × 343,053.60
  4. Step 4: Simplify right side
    584,783.52x = 276,797,737,131.84
  5. Step 5: Solve for x
    x = 276,797,737,131.84/584,783.52
  6. Step 6: Final answer
    x = 473,333.68

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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.