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Finding the Fourth Proportional to 530,311.80, 794,301.30 and 460,327.80

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Solution

The fourth proportional to 530,311.80, 794,301.30 and 460,327.80 is: 689,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,311.80 : 794,301.30 = 460,327.80 : x
  2. Step 2: Convert to fraction form
    530,311.80/794,301.30 = 460,327.80/x
  3. Step 3: Cross multiply
    530,311.80x = 794,301.30 × 460,327.80
  4. Step 4: Simplify right side
    530,311.80x = 365,638,969,966.14
  5. Step 5: Solve for x
    x = 365,638,969,966.14/530,311.80
  6. Step 6: Final answer
    x = 689,479.23

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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.