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Finding the Fourth Proportional to 461,963.84, 692,945.74 and 146,420.72

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Solution

The fourth proportional to 461,963.84, 692,945.74 and 146,420.72 is: 219,631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,963.84 : 692,945.74 = 146,420.72 : x
  2. Step 2: Convert to fraction form
    461,963.84/692,945.74 = 146,420.72/x
  3. Step 3: Cross multiply
    461,963.84x = 692,945.74 × 146,420.72
  4. Step 4: Simplify right side
    461,963.84x = 101,461,614,171.73
  5. Step 5: Solve for x
    x = 101,461,614,171.73/461,963.84
  6. Step 6: Final answer
    x = 219,631.07

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1.5x scale

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.