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Finding the Fourth Proportional to 474,715.64, 712,071.66 and 194,232.80

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Solution

The fourth proportional to 474,715.64, 712,071.66 and 194,232.80 is: 291,348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,715.64 : 712,071.66 = 194,232.80 : x
  2. Step 2: Convert to fraction form
    474,715.64/712,071.66 = 194,232.80/x
  3. Step 3: Cross multiply
    474,715.64x = 712,071.66 × 194,232.80
  4. Step 4: Simplify right side
    474,715.64x = 138,307,672,322.45
  5. Step 5: Solve for x
    x = 138,307,672,322.45/474,715.64
  6. Step 6: Final answer
    x = 291,348.46

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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.