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Finding the Fourth Proportional to 524,192.48, 723,381.95 and 297,837.98

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Solution

The fourth proportional to 524,192.48, 723,381.95 and 297,837.98 is: 411,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,192.48 : 723,381.95 = 297,837.98 : x
  2. Step 2: Convert to fraction form
    524,192.48/723,381.95 = 297,837.98/x
  3. Step 3: Cross multiply
    524,192.48x = 723,381.95 × 297,837.98
  4. Step 4: Simplify right side
    524,192.48x = 215,450,618,596.83
  5. Step 5: Solve for x
    x = 215,450,618,596.83/524,192.48
  6. Step 6: Final answer
    x = 411,014.33

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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.