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Finding the Fourth Proportional to 532,243.47, 798,376.54 and 190,709.20

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Solution

The fourth proportional to 532,243.47, 798,376.54 and 190,709.20 is: 286,067.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,243.47 : 798,376.54 = 190,709.20 : x
  2. Step 2: Convert to fraction form
    532,243.47/798,376.54 = 190,709.20/x
  3. Step 3: Cross multiply
    532,243.47x = 798,376.54 × 190,709.20
  4. Step 4: Simplify right side
    532,243.47x = 152,257,751,242.17
  5. Step 5: Solve for x
    x = 152,257,751,242.17/532,243.47
  6. Step 6: Final answer
    x = 286,067.86

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Why These Related Problems?

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