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Finding the Fourth Proportional to 446,706.81, 670,159.04 and 147,175.29

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Solution

The fourth proportional to 446,706.81, 670,159.04 and 147,175.29 is: 220,795.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,706.81 : 670,159.04 = 147,175.29 : x
  2. Step 2: Convert to fraction form
    446,706.81/670,159.04 = 147,175.29/x
  3. Step 3: Cross multiply
    446,706.81x = 670,159.04 × 147,175.29
  4. Step 4: Simplify right side
    446,706.81x = 98,630,850,322.25
  5. Step 5: Solve for x
    x = 98,630,850,322.25/446,706.81
  6. Step 6: Final answer
    x = 220,795.49

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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.