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Finding the Fourth Proportional to 462,688.02, 638,460.09 and 258,717.87

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Solution

The fourth proportional to 462,688.02, 638,460.09 and 258,717.87 is: 357,003.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,688.02 : 638,460.09 = 258,717.87 : x
  2. Step 2: Convert to fraction form
    462,688.02/638,460.09 = 258,717.87/x
  3. Step 3: Cross multiply
    462,688.02x = 638,460.09 × 258,717.87
  4. Step 4: Simplify right side
    462,688.02x = 165,181,034,564.81
  5. Step 5: Solve for x
    x = 165,181,034,564.81/462,688.02
  6. Step 6: Final answer
    x = 357,003.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.