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Finding the Fourth Proportional to 306,544.82, 459,894.98 and 96,184.58

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Solution

The fourth proportional to 306,544.82, 459,894.98 and 96,184.58 is: 144,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,544.82 : 459,894.98 = 96,184.58 : x
  2. Step 2: Convert to fraction form
    306,544.82/459,894.98 = 96,184.58/x
  3. Step 3: Cross multiply
    306,544.82x = 459,894.98 × 96,184.58
  4. Step 4: Simplify right side
    306,544.82x = 44,234,803,436.39
  5. Step 5: Solve for x
    x = 44,234,803,436.39/306,544.82
  6. Step 6: Final answer
    x = 144,301.26

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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.