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Finding the Fourth Proportional to 328,038.30, 492,057.45 and 106,422.30

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Solution

The fourth proportional to 328,038.30, 492,057.45 and 106,422.30 is: 159,633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,038.30 : 492,057.45 = 106,422.30 : x
  2. Step 2: Convert to fraction form
    328,038.30/492,057.45 = 106,422.30/x
  3. Step 3: Cross multiply
    328,038.30x = 492,057.45 × 106,422.30
  4. Step 4: Simplify right side
    328,038.30x = 52,365,885,561.14
  5. Step 5: Solve for x
    x = 52,365,885,561.14/328,038.30
  6. Step 6: Final answer
    x = 159,633.45

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1.5x scale

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.