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Finding the Fourth Proportional to 528,967.17, 729,983.40 and 299,518.41

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Solution

The fourth proportional to 528,967.17, 729,983.40 and 299,518.41 is: 413,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,967.17 : 729,983.40 = 299,518.41 : x
  2. Step 2: Convert to fraction form
    528,967.17/729,983.40 = 299,518.41/x
  3. Step 3: Cross multiply
    528,967.17x = 729,983.40 × 299,518.41
  4. Step 4: Simplify right side
    528,967.17x = 218,643,467,294.39
  5. Step 5: Solve for x
    x = 218,643,467,294.39/528,967.17
  6. Step 6: Final answer
    x = 413,340.34

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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.