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Finding the Fourth Proportional to 397,305, 596,332.02 and 144,829.50

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Solution

The fourth proportional to 397,305, 596,332.02 and 144,829.50 is: 217,380.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,305 : 596,332.02 = 144,829.50 : x
  2. Step 2: Convert to fraction form
    397,305/596,332.02 = 144,829.50/x
  3. Step 3: Cross multiply
    397,305x = 596,332.02 × 144,829.50
  4. Step 4: Simplify right side
    397,305x = 86,366,468,290.59
  5. Step 5: Solve for x
    x = 86,366,468,290.59/397,305
  6. Step 6: Final answer
    x = 217,380.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.