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Finding the Fourth Proportional to 530,174.69, 731,648.57 and 288,457.43

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Solution

The fourth proportional to 530,174.69, 731,648.57 and 288,457.43 is: 398,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,174.69 : 731,648.57 = 288,457.43 : x
  2. Step 2: Convert to fraction form
    530,174.69/731,648.57 = 288,457.43/x
  3. Step 3: Cross multiply
    530,174.69x = 731,648.57 × 288,457.43
  4. Step 4: Simplify right side
    530,174.69x = 211,049,466,165.38
  5. Step 5: Solve for x
    x = 211,049,466,165.38/530,174.69
  6. Step 6: Final answer
    x = 398,075.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.