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Finding the Fourth Proportional to 584,756.59, 806,970.83 and 343,043.28

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Solution

The fourth proportional to 584,756.59, 806,970.83 and 343,043.28 is: 473,403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,756.59 : 806,970.83 = 343,043.28 : x
  2. Step 2: Convert to fraction form
    584,756.59/806,970.83 = 343,043.28/x
  3. Step 3: Cross multiply
    584,756.59x = 806,970.83 × 343,043.28
  4. Step 4: Simplify right side
    584,756.59x = 276,825,920,387.52
  5. Step 5: Solve for x
    x = 276,825,920,387.52/584,756.59
  6. Step 6: Final answer
    x = 473,403.68

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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.