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Finding the Fourth Proportional to 356,012.14, 491,297.47 and 194,877.47

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Solution

The fourth proportional to 356,012.14, 491,297.47 and 194,877.47 is: 268,931.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,012.14 : 491,297.47 = 194,877.47 : x
  2. Step 2: Convert to fraction form
    356,012.14/491,297.47 = 194,877.47/x
  3. Step 3: Cross multiply
    356,012.14x = 491,297.47 × 194,877.47
  4. Step 4: Simplify right side
    356,012.14x = 95,742,807,971.00
  5. Step 5: Solve for x
    x = 95,742,807,971.00/356,012.14
  6. Step 6: Final answer
    x = 268,931.30

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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.