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Finding the Fourth Proportional to 319,713.41, 441,204.53 and 176,473.49

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Solution

The fourth proportional to 319,713.41, 441,204.53 and 176,473.49 is: 243,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,713.41 : 441,204.53 = 176,473.49 : x
  2. Step 2: Convert to fraction form
    319,713.41/441,204.53 = 176,473.49/x
  3. Step 3: Cross multiply
    319,713.41x = 441,204.53 × 176,473.49
  4. Step 4: Simplify right side
    319,713.41x = 77,860,900,124.52
  5. Step 5: Solve for x
    x = 77,860,900,124.52/319,713.41
  6. Step 6: Final answer
    x = 243,533.42

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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.