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Finding the Fourth Proportional to 306,980.86, 460,533.57 and 96,569.86

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Solution

The fourth proportional to 306,980.86, 460,533.57 and 96,569.86 is: 144,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,980.86 : 460,533.57 = 96,569.86 : x
  2. Step 2: Convert to fraction form
    306,980.86/460,533.57 = 96,569.86/x
  3. Step 3: Cross multiply
    306,980.86x = 460,533.57 × 96,569.86
  4. Step 4: Simplify right side
    306,980.86x = 44,473,660,866.73
  5. Step 5: Solve for x
    x = 44,473,660,866.73/306,980.86
  6. Step 6: Final answer
    x = 144,874.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.