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Finding the Fourth Proportional to 597,108.78, 824,085.50 and 342,454.50

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Solution

The fourth proportional to 597,108.78, 824,085.50 and 342,454.50 is: 472,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,108.78 : 824,085.50 = 342,454.50 : x
  2. Step 2: Convert to fraction form
    597,108.78/824,085.50 = 342,454.50/x
  3. Step 3: Cross multiply
    597,108.78x = 824,085.50 × 342,454.50
  4. Step 4: Simplify right side
    597,108.78x = 282,211,786,147.48
  5. Step 5: Solve for x
    x = 282,211,786,147.48/597,108.78
  6. Step 6: Final answer
    x = 472,630.44

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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.