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Finding the Fourth Proportional to 460,343.80, 689,349.30 and 367,031.80

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Solution

The fourth proportional to 460,343.80, 689,349.30 and 367,031.80 is: 549,617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,343.80 : 689,349.30 = 367,031.80 : x
  2. Step 2: Convert to fraction form
    460,343.80/689,349.30 = 367,031.80/x
  3. Step 3: Cross multiply
    460,343.80x = 689,349.30 × 367,031.80
  4. Step 4: Simplify right side
    460,343.80x = 253,013,114,407.74
  5. Step 5: Solve for x
    x = 253,013,114,407.74/460,343.80
  6. Step 6: Final answer
    x = 549,617.73

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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.