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Finding the Fourth Proportional to 460,391.80, 689,421.30 and 367,079.80

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Solution

The fourth proportional to 460,391.80, 689,421.30 and 367,079.80 is: 549,689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,391.80 : 689,421.30 = 367,079.80 : x
  2. Step 2: Convert to fraction form
    460,391.80/689,421.30 = 367,079.80/x
  3. Step 3: Cross multiply
    460,391.80x = 689,421.30 × 367,079.80
  4. Step 4: Simplify right side
    460,391.80x = 253,072,632,919.74
  5. Step 5: Solve for x
    x = 253,072,632,919.74/460,391.80
  6. Step 6: Final answer
    x = 549,689.71

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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.