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Finding the Fourth Proportional to 317,523.76, 438,188.44 and 174,297.12

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Solution

The fourth proportional to 317,523.76, 438,188.44 and 174,297.12 is: 240,533.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,523.76 : 438,188.44 = 174,297.12 : x
  2. Step 2: Convert to fraction form
    317,523.76/438,188.44 = 174,297.12/x
  3. Step 3: Cross multiply
    317,523.76x = 438,188.44 × 174,297.12
  4. Step 4: Simplify right side
    317,523.76x = 76,374,983,109.29
  5. Step 5: Solve for x
    x = 76,374,983,109.29/317,523.76
  6. Step 6: Final answer
    x = 240,533.13

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1.5x scale

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.