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Finding the Fourth Proportional to 675,035.20, 1,012,564.80 and 201,726.40

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Solution

The fourth proportional to 675,035.20, 1,012,564.80 and 201,726.40 is: 302,593.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,035.20 : 1,012,564.80 = 201,726.40 : x
  2. Step 2: Convert to fraction form
    675,035.20/1,012,564.80 = 201,726.40/x
  3. Step 3: Cross multiply
    675,035.20x = 1,012,564.80 × 201,726.40
  4. Step 4: Simplify right side
    675,035.20x = 204,261,051,870.72
  5. Step 5: Solve for x
    x = 204,261,051,870.72/675,035.20
  6. Step 6: Final answer
    x = 302,593.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.