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Finding the Fourth Proportional to 534,855.69, 738,106.63 and 293,133.06

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Solution

The fourth proportional to 534,855.69, 738,106.63 and 293,133.06 is: 404,526.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,855.69 : 738,106.63 = 293,133.06 : x
  2. Step 2: Convert to fraction form
    534,855.69/738,106.63 = 293,133.06/x
  3. Step 3: Cross multiply
    534,855.69x = 738,106.63 × 293,133.06
  4. Step 4: Simplify right side
    534,855.69x = 216,363,454,325.36
  5. Step 5: Solve for x
    x = 216,363,454,325.36/534,855.69
  6. Step 6: Final answer
    x = 404,526.79

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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.