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Finding the Fourth Proportional to 584,574.17, 806,722.34 and 342,863.28

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Solution

The fourth proportional to 584,574.17, 806,722.34 and 342,863.28 is: 473,157.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,574.17 : 806,722.34 = 342,863.28 : x
  2. Step 2: Convert to fraction form
    584,574.17/806,722.34 = 342,863.28/x
  3. Step 3: Cross multiply
    584,574.17x = 806,722.34 × 342,863.28
  4. Step 4: Simplify right side
    584,574.17x = 276,595,465,827.36
  5. Step 5: Solve for x
    x = 276,595,465,827.36/584,574.17
  6. Step 6: Final answer
    x = 473,157.18

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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.