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Finding the Fourth Proportional to 318,076.67, 438,946.13 and 174,833.64

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Solution

The fourth proportional to 318,076.67, 438,946.13 and 174,833.64 is: 241,270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,076.67 : 438,946.13 = 174,833.64 : x
  2. Step 2: Convert to fraction form
    318,076.67/438,946.13 = 174,833.64/x
  3. Step 3: Cross multiply
    318,076.67x = 438,946.13 × 174,833.64
  4. Step 4: Simplify right side
    318,076.67x = 76,742,549,671.81
  5. Step 5: Solve for x
    x = 76,742,549,671.81/318,076.67
  6. Step 6: Final answer
    x = 241,270.60

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Why These Related Problems?

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