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Finding the Fourth Proportional to 638,084.50, 956,430.42 and 314,095.57

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Solution

The fourth proportional to 638,084.50, 956,430.42 and 314,095.57 is: 470,800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,084.50 : 956,430.42 = 314,095.57 : x
  2. Step 2: Convert to fraction form
    638,084.50/956,430.42 = 314,095.57/x
  3. Step 3: Cross multiply
    638,084.50x = 956,430.42 × 314,095.57
  4. Step 4: Simplify right side
    638,084.50x = 300,410,559,580.59
  5. Step 5: Solve for x
    x = 300,410,559,580.59/638,084.50
  6. Step 6: Final answer
    x = 470,800.59

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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.