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Finding the Fourth Proportional to 461,883, 692,844.66 and 146,363.16

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Solution

The fourth proportional to 461,883, 692,844.66 and 146,363.16 is: 219,551.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,883 : 692,844.66 = 146,363.16 : x
  2. Step 2: Convert to fraction form
    461,883/692,844.66 = 146,363.16/x
  3. Step 3: Cross multiply
    461,883x = 692,844.66 × 146,363.16
  4. Step 4: Simplify right side
    461,883x = 101,406,933,826.73
  5. Step 5: Solve for x
    x = 101,406,933,826.73/461,883
  6. Step 6: Final answer
    x = 219,551.13

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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.