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Finding the Fourth Proportional to 313,613.40, 432,823.59 and 186,289.50

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Solution

The fourth proportional to 313,613.40, 432,823.59 and 186,289.50 is: 257,101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,613.40 : 432,823.59 = 186,289.50 : x
  2. Step 2: Convert to fraction form
    313,613.40/432,823.59 = 186,289.50/x
  3. Step 3: Cross multiply
    313,613.40x = 432,823.59 × 186,289.50
  4. Step 4: Simplify right side
    313,613.40x = 80,630,490,169.31
  5. Step 5: Solve for x
    x = 80,630,490,169.31/313,613.40
  6. Step 6: Final answer
    x = 257,101.55

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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.