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Finding the Fourth Proportional to 458,056.35, 686,762.61 and 201,767.31

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Solution

The fourth proportional to 458,056.35, 686,762.61 and 201,767.31 is: 302,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,056.35 : 686,762.61 = 201,767.31 : x
  2. Step 2: Convert to fraction form
    458,056.35/686,762.61 = 201,767.31/x
  3. Step 3: Cross multiply
    458,056.35x = 686,762.61 × 201,767.31
  4. Step 4: Simplify right side
    458,056.35x = 138,566,244,428.28
  5. Step 5: Solve for x
    x = 138,566,244,428.28/458,056.35
  6. Step 6: Final answer
    x = 302,509.17

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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.