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Finding the Fourth Proportional to 278,328,574.40, 417,492,861.60 and 169,489,457.60

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Solution

The fourth proportional to 278,328,574.40, 417,492,861.60 and 169,489,457.60 is: 254,234,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,328,574.40 : 417,492,861.60 = 169,489,457.60 : x
  2. Step 2: Convert to fraction form
    278,328,574.40/417,492,861.60 = 169,489,457.60/x
  3. Step 3: Cross multiply
    278,328,574.40x = 417,492,861.60 × 169,489,457.60
  4. Step 4: Simplify right side
    278,328,574.40x = 70,760,638,664,455,872
  5. Step 5: Solve for x
    x = 70,760,638,664,455,872/278,328,574.40
  6. Step 6: Final answer
    x = 254,234,186.40

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