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Finding the Fourth Proportional to 460,333.17, 690,029.19 and 310,588.65

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Solution

The fourth proportional to 460,333.17, 690,029.19 and 310,588.65 is: 465,565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,333.17 : 690,029.19 = 310,588.65 : x
  2. Step 2: Convert to fraction form
    460,333.17/690,029.19 = 310,588.65/x
  3. Step 3: Cross multiply
    460,333.17x = 690,029.19 × 310,588.65
  4. Step 4: Simplify right side
    460,333.17x = 214,315,234,582.69
  5. Step 5: Solve for x
    x = 214,315,234,582.69/460,333.17
  6. Step 6: Final answer
    x = 465,565.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.