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Finding the Fourth Proportional to 605,214, 907,312.80 and 263,402.16

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Solution

The fourth proportional to 605,214, 907,312.80 and 263,402.16 is: 394,882.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,214 : 907,312.80 = 263,402.16 : x
  2. Step 2: Convert to fraction form
    605,214/907,312.80 = 263,402.16/x
  3. Step 3: Cross multiply
    605,214x = 907,312.80 × 263,402.16
  4. Step 4: Simplify right side
    605,214x = 238,988,151,315.65
  5. Step 5: Solve for x
    x = 238,988,151,315.65/605,214
  6. Step 6: Final answer
    x = 394,882.06

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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.