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Finding the Fourth Proportional to 462,117.80, 693,249.60 and 146,606.60

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Solution

The fourth proportional to 462,117.80, 693,249.60 and 146,606.60 is: 219,933.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,117.80 : 693,249.60 = 146,606.60 : x
  2. Step 2: Convert to fraction form
    462,117.80/693,249.60 = 146,606.60/x
  3. Step 3: Cross multiply
    462,117.80x = 693,249.60 × 146,606.60
  4. Step 4: Simplify right side
    462,117.80x = 101,634,966,807.36
  5. Step 5: Solve for x
    x = 101,634,966,807.36/462,117.80
  6. Step 6: Final answer
    x = 219,933.03

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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.