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Finding the Fourth Proportional to 423,094.16, 634,505.16 and 223,299.56

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Solution

The fourth proportional to 423,094.16, 634,505.16 and 223,299.56 is: 334,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,094.16 : 634,505.16 = 223,299.56 : x
  2. Step 2: Convert to fraction form
    423,094.16/634,505.16 = 223,299.56/x
  3. Step 3: Cross multiply
    423,094.16x = 634,505.16 × 223,299.56
  4. Step 4: Simplify right side
    423,094.16x = 141,684,723,045.73
  5. Step 5: Solve for x
    x = 141,684,723,045.73/423,094.16
  6. Step 6: Final answer
    x = 334,877.52

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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.