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Finding the Fourth Proportional to 345,754, 477,140.61 and 186,778

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Solution

The fourth proportional to 345,754, 477,140.61 and 186,778 is: 257,753.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,754 : 477,140.61 = 186,778 : x
  2. Step 2: Convert to fraction form
    345,754/477,140.61 = 186,778/x
  3. Step 3: Cross multiply
    345,754x = 477,140.61 × 186,778
  4. Step 4: Simplify right side
    345,754x = 89,119,368,854.58
  5. Step 5: Solve for x
    x = 89,119,368,854.58/345,754
  6. Step 6: Final answer
    x = 257,753.69

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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.