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Finding the Fourth Proportional to 319,314.96, 440,657.64 and 176,080.14

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Solution

The fourth proportional to 319,314.96, 440,657.64 and 176,080.14 is: 242,992.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,314.96 : 440,657.64 = 176,080.14 : x
  2. Step 2: Convert to fraction form
    319,314.96/440,657.64 = 176,080.14/x
  3. Step 3: Cross multiply
    319,314.96x = 440,657.64 × 176,080.14
  4. Step 4: Simplify right side
    319,314.96x = 77,591,058,943.27
  5. Step 5: Solve for x
    x = 77,591,058,943.27/319,314.96
  6. Step 6: Final answer
    x = 242,992.24

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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.