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Finding the Fourth Proportional to 585,729.16, 808,086.90 and 344,019.40

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Solution

The fourth proportional to 585,729.16, 808,086.90 and 344,019.40 is: 474,617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,729.16 : 808,086.90 = 344,019.40 : x
  2. Step 2: Convert to fraction form
    585,729.16/808,086.90 = 344,019.40/x
  3. Step 3: Cross multiply
    585,729.16x = 808,086.90 × 344,019.40
  4. Step 4: Simplify right side
    585,729.16x = 277,997,570,485.86
  5. Step 5: Solve for x
    x = 277,997,570,485.86/585,729.16
  6. Step 6: Final answer
    x = 474,617.95

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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.