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Finding the Fourth Proportional to 461,772.60, 692,723.70 and 146,196.60

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Solution

The fourth proportional to 461,772.60, 692,723.70 and 146,196.60 is: 219,315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,772.60 : 692,723.70 = 146,196.60 : x
  2. Step 2: Convert to fraction form
    461,772.60/692,723.70 = 146,196.60/x
  3. Step 3: Cross multiply
    461,772.60x = 692,723.70 × 146,196.60
  4. Step 4: Simplify right side
    461,772.60x = 101,273,849,679.42
  5. Step 5: Solve for x
    x = 101,273,849,679.42/461,772.60
  6. Step 6: Final answer
    x = 219,315.42

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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.