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Finding the Fourth Proportional to 583,894.44, 806,045.58 and 342,143.46

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Solution

The fourth proportional to 583,894.44, 806,045.58 and 342,143.46 is: 472,316.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,894.44 : 806,045.58 = 342,143.46 : x
  2. Step 2: Convert to fraction form
    583,894.44/806,045.58 = 342,143.46/x
  3. Step 3: Cross multiply
    583,894.44x = 806,045.58 × 342,143.46
  4. Step 4: Simplify right side
    583,894.44x = 275,783,223,658.91
  5. Step 5: Solve for x
    x = 275,783,223,658.91/583,894.44
  6. Step 6: Final answer
    x = 472,316.92

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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.