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Finding the Fourth Proportional to 429,224, 592,329.12 and 238,268.24

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Solution

The fourth proportional to 429,224, 592,329.12 and 238,268.24 is: 328,810.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,224 : 592,329.12 = 238,268.24 : x
  2. Step 2: Convert to fraction form
    429,224/592,329.12 = 238,268.24/x
  3. Step 3: Cross multiply
    429,224x = 592,329.12 × 238,268.24
  4. Step 4: Simplify right side
    429,224x = 141,133,216,923.15
  5. Step 5: Solve for x
    x = 141,133,216,923.15/429,224
  6. Step 6: Final answer
    x = 328,810.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.