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Finding the Fourth Proportional to 471,528.35, 707,292.75 and 155,985.25

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Solution

The fourth proportional to 471,528.35, 707,292.75 and 155,985.25 is: 233,977.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,528.35 : 707,292.75 = 155,985.25 : x
  2. Step 2: Convert to fraction form
    471,528.35/707,292.75 = 155,985.25/x
  3. Step 3: Cross multiply
    471,528.35x = 707,292.75 × 155,985.25
  4. Step 4: Simplify right side
    471,528.35x = 110,327,236,431.94
  5. Step 5: Solve for x
    x = 110,327,236,431.94/471,528.35
  6. Step 6: Final answer
    x = 233,977.95

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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.