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Finding the Fourth Proportional to 470,202.65, 700,349.33 and 460,361.15

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Solution

The fourth proportional to 470,202.65, 700,349.33 and 460,361.15 is: 685,690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,202.65 : 700,349.33 = 460,361.15 : x
  2. Step 2: Convert to fraction form
    470,202.65/700,349.33 = 460,361.15/x
  3. Step 3: Cross multiply
    470,202.65x = 700,349.33 × 460,361.15
  4. Step 4: Simplify right side
    470,202.65x = 322,413,617,156.98
  5. Step 5: Solve for x
    x = 322,413,617,156.98/470,202.65
  6. Step 6: Final answer
    x = 685,690.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.