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Finding the Fourth Proportional to 302,734.59, 417,742.35 and 186,429.59

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Solution

The fourth proportional to 302,734.59, 417,742.35 and 186,429.59 is: 257,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,734.59 : 417,742.35 = 186,429.59 : x
  2. Step 2: Convert to fraction form
    302,734.59/417,742.35 = 186,429.59/x
  3. Step 3: Cross multiply
    302,734.59x = 417,742.35 × 186,429.59
  4. Step 4: Simplify right side
    302,734.59x = 77,879,532,947.42
  5. Step 5: Solve for x
    x = 77,879,532,947.42/302,734.59
  6. Step 6: Final answer
    x = 257,253.50

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