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Finding the Fourth Proportional to 314,225.48, 433,555.52 and 185,169.24

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Solution

The fourth proportional to 314,225.48, 433,555.52 and 185,169.24 is: 255,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,225.48 : 433,555.52 = 185,169.24 : x
  2. Step 2: Convert to fraction form
    314,225.48/433,555.52 = 185,169.24/x
  3. Step 3: Cross multiply
    314,225.48x = 433,555.52 × 185,169.24
  4. Step 4: Simplify right side
    314,225.48x = 80,281,146,136.20
  5. Step 5: Solve for x
    x = 80,281,146,136.20/314,225.48
  6. Step 6: Final answer
    x = 255,488.98

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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.