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Finding the Fourth Proportional to 400,934.40, 601,349.76 and 151,584

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Solution

The fourth proportional to 400,934.40, 601,349.76 and 151,584 is: 227,356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,934.40 : 601,349.76 = 151,584 : x
  2. Step 2: Convert to fraction form
    400,934.40/601,349.76 = 151,584/x
  3. Step 3: Cross multiply
    400,934.40x = 601,349.76 × 151,584
  4. Step 4: Simplify right side
    400,934.40x = 91,155,002,019.84
  5. Step 5: Solve for x
    x = 91,155,002,019.84/400,934.40
  6. Step 6: Final answer
    x = 227,356.40

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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.