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Finding the Fourth Proportional to 306,830.01, 460,317.46 and 96,467.95

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Solution

The fourth proportional to 306,830.01, 460,317.46 and 96,467.95 is: 144,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,830.01 : 460,317.46 = 96,467.95 : x
  2. Step 2: Convert to fraction form
    306,830.01/460,317.46 = 96,467.95/x
  3. Step 3: Cross multiply
    306,830.01x = 460,317.46 × 96,467.95
  4. Step 4: Simplify right side
    306,830.01x = 44,405,881,715.41
  5. Step 5: Solve for x
    x = 44,405,881,715.41/306,830.01
  6. Step 6: Final answer
    x = 144,724.70

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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.