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Finding the Fourth Proportional to 471,526.84, 707,290.80 and 116,535.43

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Solution

The fourth proportional to 471,526.84, 707,290.80 and 116,535.43 is: 174,803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,526.84 : 707,290.80 = 116,535.43 : x
  2. Step 2: Convert to fraction form
    471,526.84/707,290.80 = 116,535.43/x
  3. Step 3: Cross multiply
    471,526.84x = 707,290.80 × 116,535.43
  4. Step 4: Simplify right side
    471,526.84x = 82,424,437,513.04
  5. Step 5: Solve for x
    x = 82,424,437,513.04/471,526.84
  6. Step 6: Final answer
    x = 174,803.28

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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.