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Finding the Fourth Proportional to 306,723.60, 460,099.80 and 96,368.40

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Solution

The fourth proportional to 306,723.60, 460,099.80 and 96,368.40 is: 144,557.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,723.60 : 460,099.80 = 96,368.40 : x
  2. Step 2: Convert to fraction form
    306,723.60/460,099.80 = 96,368.40/x
  3. Step 3: Cross multiply
    306,723.60x = 460,099.80 × 96,368.40
  4. Step 4: Simplify right side
    306,723.60x = 44,339,081,566.32
  5. Step 5: Solve for x
    x = 44,339,081,566.32/306,723.60
  6. Step 6: Final answer
    x = 144,557.12

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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.