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Finding the Fourth Proportional to 524,320.14, 723,554.94 and 294,877.38

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Solution

The fourth proportional to 524,320.14, 723,554.94 and 294,877.38 is: 406,926.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,320.14 : 723,554.94 = 294,877.38 : x
  2. Step 2: Convert to fraction form
    524,320.14/723,554.94 = 294,877.38/x
  3. Step 3: Cross multiply
    524,320.14x = 723,554.94 × 294,877.38
  4. Step 4: Simplify right side
    524,320.14x = 213,359,984,993.26
  5. Step 5: Solve for x
    x = 213,359,984,993.26/524,320.14
  6. Step 6: Final answer
    x = 406,926.93

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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.