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Finding the Fourth Proportional to 397,305.50, 596,332.77 and 144,830.02

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Solution

The fourth proportional to 397,305.50, 596,332.77 and 144,830.02 is: 217,381.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,305.50 : 596,332.77 = 144,830.02 : x
  2. Step 2: Convert to fraction form
    397,305.50/596,332.77 = 144,830.02/x
  3. Step 3: Cross multiply
    397,305.50x = 596,332.77 × 144,830.02
  4. Step 4: Simplify right side
    397,305.50x = 86,366,887,005.76
  5. Step 5: Solve for x
    x = 86,366,887,005.76/397,305.50
  6. Step 6: Final answer
    x = 217,381.55

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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.