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Finding the Fourth Proportional to 319,705.70, 441,193.90 and 176,465.78

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Solution

The fourth proportional to 319,705.70, 441,193.90 and 176,465.78 is: 243,522.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,705.70 : 441,193.90 = 176,465.78 : x
  2. Step 2: Convert to fraction form
    319,705.70/441,193.90 = 176,465.78/x
  3. Step 3: Cross multiply
    319,705.70x = 441,193.90 × 176,465.78
  4. Step 4: Simplify right side
    319,705.70x = 77,855,625,694.74
  5. Step 5: Solve for x
    x = 77,855,625,694.74/319,705.70
  6. Step 6: Final answer
    x = 243,522.80

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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.