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Finding the Fourth Proportional to 463,337.20, 695,005.80 and 163,815.40

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Solution

The fourth proportional to 463,337.20, 695,005.80 and 163,815.40 is: 245,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,337.20 : 695,005.80 = 163,815.40 : x
  2. Step 2: Convert to fraction form
    463,337.20/695,005.80 = 163,815.40/x
  3. Step 3: Cross multiply
    463,337.20x = 695,005.80 × 163,815.40
  4. Step 4: Simplify right side
    463,337.20x = 113,852,653,129.32
  5. Step 5: Solve for x
    x = 113,852,653,129.32/463,337.20
  6. Step 6: Final answer
    x = 245,723.10

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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.