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Finding the Fourth Proportional to 290,416,181.20, 435,624,271.80 and 224,659,214.80

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Solution

The fourth proportional to 290,416,181.20, 435,624,271.80 and 224,659,214.80 is: 336,988,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,416,181.20 : 435,624,271.80 = 224,659,214.80 : x
  2. Step 2: Convert to fraction form
    290,416,181.20/435,624,271.80 = 224,659,214.80/x
  3. Step 3: Cross multiply
    290,416,181.20x = 435,624,271.80 × 224,659,214.80
  4. Step 4: Simplify right side
    290,416,181.20x = 97,867,006,850,409,792
  5. Step 5: Solve for x
    x = 97,867,006,850,409,792/290,416,181.20
  6. Step 6: Final answer
    x = 336,988,822.20

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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.