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Finding the Fourth Proportional to 540,126, 745,373.88 and 301,662

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Solution

The fourth proportional to 540,126, 745,373.88 and 301,662 is: 416,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,126 : 745,373.88 = 301,662 : x
  2. Step 2: Convert to fraction form
    540,126/745,373.88 = 301,662/x
  3. Step 3: Cross multiply
    540,126x = 745,373.88 × 301,662
  4. Step 4: Simplify right side
    540,126x = 224,850,975,388.56
  5. Step 5: Solve for x
    x = 224,850,975,388.56/540,126
  6. Step 6: Final answer
    x = 416,293.56

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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.