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Finding the Fourth Proportional to 585,322.48, 807,728.52 and 343,601.20

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Solution

The fourth proportional to 585,322.48, 807,728.52 and 343,601.20 is: 474,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,322.48 : 807,728.52 = 343,601.20 : x
  2. Step 2: Convert to fraction form
    585,322.48/807,728.52 = 343,601.20/x
  3. Step 3: Cross multiply
    585,322.48x = 807,728.52 × 343,601.20
  4. Step 4: Simplify right side
    585,322.48x = 277,536,488,746.22
  5. Step 5: Solve for x
    x = 277,536,488,746.22/585,322.48
  6. Step 6: Final answer
    x = 474,159.97

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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.