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Finding the Fourth Proportional to 174,324, 261,486 and 42,996

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Solution

The fourth proportional to 174,324, 261,486 and 42,996 is: 64,494

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,324 : 261,486 = 42,996 : x
  2. Step 2: Convert to fraction form
    174,324/261,486 = 42,996/x
  3. Step 3: Cross multiply
    174,324x = 261,486 × 42,996
  4. Step 4: Simplify right side
    174,324x = 11,242,852,056
  5. Step 5: Solve for x
    x = 11,242,852,056/174,324
  6. Step 6: Final answer
    x = 64,494

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.