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Finding the Fourth Proportional to 596,730.24, 823,527 and 342,085.68

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Solution

The fourth proportional to 596,730.24, 823,527 and 342,085.68 is: 472,100.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,730.24 : 823,527 = 342,085.68 : x
  2. Step 2: Convert to fraction form
    596,730.24/823,527 = 342,085.68/x
  3. Step 3: Cross multiply
    596,730.24x = 823,527 × 342,085.68
  4. Step 4: Simplify right side
    596,730.24x = 281,716,793,793.36
  5. Step 5: Solve for x
    x = 281,716,793,793.36/596,730.24
  6. Step 6: Final answer
    x = 472,100.75

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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.