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Finding the Fourth Proportional to 343,083.42, 473,455.26 and 208,947.42

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Solution

The fourth proportional to 343,083.42, 473,455.26 and 208,947.42 is: 288,347.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,083.42 : 473,455.26 = 208,947.42 : x
  2. Step 2: Convert to fraction form
    343,083.42/473,455.26 = 208,947.42/x
  3. Step 3: Cross multiply
    343,083.42x = 473,455.26 × 208,947.42
  4. Step 4: Simplify right side
    343,083.42x = 98,927,255,062.43
  5. Step 5: Solve for x
    x = 98,927,255,062.43/343,083.42
  6. Step 6: Final answer
    x = 288,347.53

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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.