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Finding the Fourth Proportional to 530,193.05, 731,644.52 and 288,476.57

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Solution

The fourth proportional to 530,193.05, 731,644.52 and 288,476.57 is: 398,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,193.05 : 731,644.52 = 288,476.57 : x
  2. Step 2: Convert to fraction form
    530,193.05/731,644.52 = 288,476.57/x
  3. Step 3: Cross multiply
    530,193.05x = 731,644.52 × 288,476.57
  4. Step 4: Simplify right side
    530,193.05x = 211,062,300,146.51
  5. Step 5: Solve for x
    x = 211,062,300,146.51/530,193.05
  6. Step 6: Final answer
    x = 398,085.75

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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.