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Finding the Fourth Proportional to 397,303.50, 596,329.77 and 144,828.02

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Solution

The fourth proportional to 397,303.50, 596,329.77 and 144,828.02 is: 217,378.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,303.50 : 596,329.77 = 144,828.02 : x
  2. Step 2: Convert to fraction form
    397,303.50/596,329.77 = 144,828.02/x
  3. Step 3: Cross multiply
    397,303.50x = 596,329.77 × 144,828.02
  4. Step 4: Simplify right side
    397,303.50x = 86,365,259,856.16
  5. Step 5: Solve for x
    x = 86,365,259,856.16/397,303.50
  6. Step 6: Final answer
    x = 217,378.55

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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.