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Finding the Fourth Proportional to 463,346.60, 695,039.30 and 163,829.66

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Solution

The fourth proportional to 463,346.60, 695,039.30 and 163,829.66 is: 245,751.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,346.60 : 695,039.30 = 163,829.66 : x
  2. Step 2: Convert to fraction form
    463,346.60/695,039.30 = 163,829.66/x
  3. Step 3: Cross multiply
    463,346.60x = 695,039.30 × 163,829.66
  4. Step 4: Simplify right side
    463,346.60x = 113,868,048,525.65
  5. Step 5: Solve for x
    x = 113,868,048,525.65/463,346.60
  6. Step 6: Final answer
    x = 245,751.34

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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.