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Finding the Fourth Proportional to 431,196.54, 646,313.64 and 191,359.17

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Solution

The fourth proportional to 431,196.54, 646,313.64 and 191,359.17 is: 286,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,196.54 : 646,313.64 = 191,359.17 : x
  2. Step 2: Convert to fraction form
    431,196.54/646,313.64 = 191,359.17/x
  3. Step 3: Cross multiply
    431,196.54x = 646,313.64 × 191,359.17
  4. Step 4: Simplify right side
    431,196.54x = 123,678,041,710.08
  5. Step 5: Solve for x
    x = 123,678,041,710.08/431,196.54
  6. Step 6: Final answer
    x = 286,825.22

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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.