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Finding the Fourth Proportional to 508,275, 762,412.50 and 175,851

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Solution

The fourth proportional to 508,275, 762,412.50 and 175,851 is: 263,776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,275 : 762,412.50 = 175,851 : x
  2. Step 2: Convert to fraction form
    508,275/762,412.50 = 175,851/x
  3. Step 3: Cross multiply
    508,275x = 762,412.50 × 175,851
  4. Step 4: Simplify right side
    508,275x = 134,071,000,537.50
  5. Step 5: Solve for x
    x = 134,071,000,537.50/508,275
  6. Step 6: Final answer
    x = 263,776.50

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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.