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Finding the Fourth Proportional to 530,855.80, 795,117.30 and 460,871.80

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Solution

The fourth proportional to 530,855.80, 795,117.30 and 460,871.80 is: 690,295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,855.80 : 795,117.30 = 460,871.80 : x
  2. Step 2: Convert to fraction form
    530,855.80/795,117.30 = 460,871.80/x
  3. Step 3: Cross multiply
    530,855.80x = 795,117.30 × 460,871.80
  4. Step 4: Simplify right side
    530,855.80x = 366,447,141,262.14
  5. Step 5: Solve for x
    x = 366,447,141,262.14/530,855.80
  6. Step 6: Final answer
    x = 690,295.07

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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.