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Finding the Fourth Proportional to 315,508.23, 435,419.01 and 172,281.60

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Solution

The fourth proportional to 315,508.23, 435,419.01 and 172,281.60 is: 237,758.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,508.23 : 435,419.01 = 172,281.60 : x
  2. Step 2: Convert to fraction form
    315,508.23/435,419.01 = 172,281.60/x
  3. Step 3: Cross multiply
    315,508.23x = 435,419.01 × 172,281.60
  4. Step 4: Simplify right side
    315,508.23x = 75,014,683,713.22
  5. Step 5: Solve for x
    x = 75,014,683,713.22/315,508.23
  6. Step 6: Final answer
    x = 237,758.25

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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.