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Finding the Fourth Proportional to 601,214, 901,959.24 and 207,230

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Solution

The fourth proportional to 601,214, 901,959.24 and 207,230 is: 310,892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,214 : 901,959.24 = 207,230 : x
  2. Step 2: Convert to fraction form
    601,214/901,959.24 = 207,230/x
  3. Step 3: Cross multiply
    601,214x = 901,959.24 × 207,230
  4. Step 4: Simplify right side
    601,214x = 186,913,013,305.20
  5. Step 5: Solve for x
    x = 186,913,013,305.20/601,214
  6. Step 6: Final answer
    x = 310,892.65

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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.