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Finding the Fourth Proportional to 345,875.50, 477,315.48 and 194,972.50

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Solution

The fourth proportional to 345,875.50, 477,315.48 and 194,972.50 is: 269,066.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,875.50 : 477,315.48 = 194,972.50 : x
  2. Step 2: Convert to fraction form
    345,875.50/477,315.48 = 194,972.50/x
  3. Step 3: Cross multiply
    345,875.50x = 477,315.48 × 194,972.50
  4. Step 4: Simplify right side
    345,875.50x = 93,063,392,424.30
  5. Step 5: Solve for x
    x = 93,063,392,424.30/345,875.50
  6. Step 6: Final answer
    x = 269,066.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.