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Finding the Fourth Proportional to 384,039.24, 575,287.08 and 191,332.80

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Solution

The fourth proportional to 384,039.24, 575,287.08 and 191,332.80 is: 286,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,039.24 : 575,287.08 = 191,332.80 : x
  2. Step 2: Convert to fraction form
    384,039.24/575,287.08 = 191,332.80/x
  3. Step 3: Cross multiply
    384,039.24x = 575,287.08 × 191,332.80
  4. Step 4: Simplify right side
    384,039.24x = 110,071,287,820.22
  5. Step 5: Solve for x
    x = 110,071,287,820.22/384,039.24
  6. Step 6: Final answer
    x = 286,614.69

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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.