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Finding the Fourth Proportional to 314,814.68, 434,459.67 and 177,036.97

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Solution

The fourth proportional to 314,814.68, 434,459.67 and 177,036.97 is: 244,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,814.68 : 434,459.67 = 177,036.97 : x
  2. Step 2: Convert to fraction form
    314,814.68/434,459.67 = 177,036.97/x
  3. Step 3: Cross multiply
    314,814.68x = 434,459.67 × 177,036.97
  4. Step 4: Simplify right side
    314,814.68x = 76,915,424,122.32
  5. Step 5: Solve for x
    x = 76,915,424,122.32/314,814.68
  6. Step 6: Final answer
    x = 244,319.69

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1.5x scale

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.