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Finding the Fourth Proportional to 314,191.62, 471,001.50 and 114,466.50

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Solution

The fourth proportional to 314,191.62, 471,001.50 and 114,466.50 is: 171,595.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,191.62 : 471,001.50 = 114,466.50 : x
  2. Step 2: Convert to fraction form
    314,191.62/471,001.50 = 114,466.50/x
  3. Step 3: Cross multiply
    314,191.62x = 471,001.50 × 114,466.50
  4. Step 4: Simplify right side
    314,191.62x = 53,913,893,199.75
  5. Step 5: Solve for x
    x = 53,913,893,199.75/314,191.62
  6. Step 6: Final answer
    x = 171,595.58

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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.