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Finding the Fourth Proportional to 477,306, 658,665.42 and 262,444.56

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Solution

The fourth proportional to 477,306, 658,665.42 and 262,444.56 is: 362,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,306 : 658,665.42 = 262,444.56 : x
  2. Step 2: Convert to fraction form
    477,306/658,665.42 = 262,444.56/x
  3. Step 3: Cross multiply
    477,306x = 658,665.42 × 262,444.56
  4. Step 4: Simplify right side
    477,306x = 172,863,156,339.12
  5. Step 5: Solve for x
    x = 172,863,156,339.12/477,306
  6. Step 6: Final answer
    x = 362,164.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.