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Finding the Fourth Proportional to 345,633.26, 476,973.90 and 186,657.26

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Solution

The fourth proportional to 345,633.26, 476,973.90 and 186,657.26 is: 257,587.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,633.26 : 476,973.90 = 186,657.26 : x
  2. Step 2: Convert to fraction form
    345,633.26/476,973.90 = 186,657.26/x
  3. Step 3: Cross multiply
    345,633.26x = 476,973.90 × 186,657.26
  4. Step 4: Simplify right side
    345,633.26x = 89,030,641,265.51
  5. Step 5: Solve for x
    x = 89,030,641,265.51/345,633.26
  6. Step 6: Final answer
    x = 257,587.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.