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Finding the Fourth Proportional to 357,421.41, 493,352.26 and 230,097

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Solution

The fourth proportional to 357,421.41, 493,352.26 and 230,097 is: 317,605.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,421.41 : 493,352.26 = 230,097 : x
  2. Step 2: Convert to fraction form
    357,421.41/493,352.26 = 230,097/x
  3. Step 3: Cross multiply
    357,421.41x = 493,352.26 × 230,097
  4. Step 4: Simplify right side
    357,421.41x = 113,518,874,969.22
  5. Step 5: Solve for x
    x = 113,518,874,969.22/357,421.41
  6. Step 6: Final answer
    x = 317,605.13

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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.