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Finding the Fourth Proportional to 583,857.08, 805,704.50 and 342,300.54

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Solution

The fourth proportional to 583,857.08, 805,704.50 and 342,300.54 is: 472,364.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,857.08 : 805,704.50 = 342,300.54 : x
  2. Step 2: Convert to fraction form
    583,857.08/805,704.50 = 342,300.54/x
  3. Step 3: Cross multiply
    583,857.08x = 805,704.50 × 342,300.54
  4. Step 4: Simplify right side
    583,857.08x = 275,793,085,430.43
  5. Step 5: Solve for x
    x = 275,793,085,430.43/583,857.08
  6. Step 6: Final answer
    x = 472,364.03

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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.