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Finding the Fourth Proportional to 468,013.34, 645,843.27 and 296,025.23

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Solution

The fourth proportional to 468,013.34, 645,843.27 and 296,025.23 is: 408,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,013.34 : 645,843.27 = 296,025.23 : x
  2. Step 2: Convert to fraction form
    468,013.34/645,843.27 = 296,025.23/x
  3. Step 3: Cross multiply
    468,013.34x = 645,843.27 × 296,025.23
  4. Step 4: Simplify right side
    468,013.34x = 191,185,905,270.41
  5. Step 5: Solve for x
    x = 191,185,905,270.41/468,013.34
  6. Step 6: Final answer
    x = 408,505.25

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1.5x scale

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.