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Finding the Fourth Proportional to 288,303.18, 397,752.98 and 180,834

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Solution

The fourth proportional to 288,303.18, 397,752.98 and 180,834 is: 249,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,303.18 : 397,752.98 = 180,834 : x
  2. Step 2: Convert to fraction form
    288,303.18/397,752.98 = 180,834/x
  3. Step 3: Cross multiply
    288,303.18x = 397,752.98 × 180,834
  4. Step 4: Simplify right side
    288,303.18x = 71,927,261,481.15
  5. Step 5: Solve for x
    x = 71,927,261,481.15/288,303.18
  6. Step 6: Final answer
    x = 249,484.80

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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.