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Finding the Fourth Proportional to 520,099.70, 780,149.55 and 470,333.30

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Solution

The fourth proportional to 520,099.70, 780,149.55 and 470,333.30 is: 705,499.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,099.70 : 780,149.55 = 470,333.30 : x
  2. Step 2: Convert to fraction form
    520,099.70/780,149.55 = 470,333.30/x
  3. Step 3: Cross multiply
    520,099.70x = 780,149.55 × 470,333.30
  4. Step 4: Simplify right side
    520,099.70x = 366,930,312,345.02
  5. Step 5: Solve for x
    x = 366,930,312,345.02/520,099.70
  6. Step 6: Final answer
    x = 705,499.95

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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.