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Finding the Fourth Proportional to 600,834.72, 829,095.18 and 359,069.16

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Solution

The fourth proportional to 600,834.72, 829,095.18 and 359,069.16 is: 495,481.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,834.72 : 829,095.18 = 359,069.16 : x
  2. Step 2: Convert to fraction form
    600,834.72/829,095.18 = 359,069.16/x
  3. Step 3: Cross multiply
    600,834.72x = 829,095.18 × 359,069.16
  4. Step 4: Simplify right side
    600,834.72x = 297,702,509,842.65
  5. Step 5: Solve for x
    x = 297,702,509,842.65/600,834.72
  6. Step 6: Final answer
    x = 495,481.54

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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.