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Finding the Fourth Proportional to 510,133.22, 703,989.72 and 292,337.58

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Solution

The fourth proportional to 510,133.22, 703,989.72 and 292,337.58 is: 403,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,133.22 : 703,989.72 = 292,337.58 : x
  2. Step 2: Convert to fraction form
    510,133.22/703,989.72 = 292,337.58/x
  3. Step 3: Cross multiply
    510,133.22x = 703,989.72 × 292,337.58
  4. Step 4: Simplify right side
    510,133.22x = 205,802,651,089.68
  5. Step 5: Solve for x
    x = 205,802,651,089.68/510,133.22
  6. Step 6: Final answer
    x = 403,429.23

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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.