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Finding the Fourth Proportional to 524,089.06, 723,161.91 and 294,603.82

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Solution

The fourth proportional to 524,089.06, 723,161.91 and 294,603.82 is: 406,507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,089.06 : 723,161.91 = 294,603.82 : x
  2. Step 2: Convert to fraction form
    524,089.06/723,161.91 = 294,603.82/x
  3. Step 3: Cross multiply
    524,089.06x = 723,161.91 × 294,603.82
  4. Step 4: Simplify right side
    524,089.06x = 213,046,261,164.50
  5. Step 5: Solve for x
    x = 213,046,261,164.50/524,089.06
  6. Step 6: Final answer
    x = 406,507.74

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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.