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Finding the Fourth Proportional to 524,068.82, 723,142.04 and 294,593.66

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Solution

The fourth proportional to 524,068.82, 723,142.04 and 294,593.66 is: 406,498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,068.82 : 723,142.04 = 294,593.66 : x
  2. Step 2: Convert to fraction form
    524,068.82/723,142.04 = 294,593.66/x
  3. Step 3: Cross multiply
    524,068.82x = 723,142.04 × 294,593.66
  4. Step 4: Simplify right side
    524,068.82x = 213,033,060,263.47
  5. Step 5: Solve for x
    x = 213,033,060,263.47/524,068.82
  6. Step 6: Final answer
    x = 406,498.25

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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.