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Finding the Fourth Proportional to 319,709.88, 441,168.17 and 176,460.63

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Solution

The fourth proportional to 319,709.88, 441,168.17 and 176,460.63 is: 243,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,709.88 : 441,168.17 = 176,460.63 : x
  2. Step 2: Convert to fraction form
    319,709.88/441,168.17 = 176,460.63/x
  3. Step 3: Cross multiply
    319,709.88x = 441,168.17 × 176,460.63
  4. Step 4: Simplify right side
    319,709.88x = 77,848,812,331.84
  5. Step 5: Solve for x
    x = 77,848,812,331.84/319,709.88
  6. Step 6: Final answer
    x = 243,498.30

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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.