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Finding the Fourth Proportional to 530,192.82, 731,644.15 and 288,476.32

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Solution

The fourth proportional to 530,192.82, 731,644.15 and 288,476.32 is: 398,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,192.82 : 731,644.15 = 288,476.32 : x
  2. Step 2: Convert to fraction form
    530,192.82/731,644.15 = 288,476.32/x
  3. Step 3: Cross multiply
    530,192.82x = 731,644.15 × 288,476.32
  4. Step 4: Simplify right side
    530,192.82x = 211,062,011,941.53
  5. Step 5: Solve for x
    x = 211,062,011,941.53/530,192.82
  6. Step 6: Final answer
    x = 398,085.38

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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.