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Finding the Fourth Proportional to 341,810.47, 471,703.38 and 188,852.19

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Solution

The fourth proportional to 341,810.47, 471,703.38 and 188,852.19 is: 260,618.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,810.47 : 471,703.38 = 188,852.19 : x
  2. Step 2: Convert to fraction form
    341,810.47/471,703.38 = 188,852.19/x
  3. Step 3: Cross multiply
    341,810.47x = 471,703.38 × 188,852.19
  4. Step 4: Simplify right side
    341,810.47x = 89,082,217,581.94
  5. Step 5: Solve for x
    x = 89,082,217,581.94/341,810.47
  6. Step 6: Final answer
    x = 260,618.75

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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.