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Finding the Fourth Proportional to 468,775.11, 703,195.47 and 232,054.23

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Solution

The fourth proportional to 468,775.11, 703,195.47 and 232,054.23 is: 348,097.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,775.11 : 703,195.47 = 232,054.23 : x
  2. Step 2: Convert to fraction form
    468,775.11/703,195.47 = 232,054.23/x
  3. Step 3: Cross multiply
    468,775.11x = 703,195.47 × 232,054.23
  4. Step 4: Simplify right side
    468,775.11x = 163,179,483,330.34
  5. Step 5: Solve for x
    x = 163,179,483,330.34/468,775.11
  6. Step 6: Final answer
    x = 348,097.58

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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.