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Finding the Fourth Proportional to 319,043.86, 440,289.78 and 175,813.14

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Solution

The fourth proportional to 319,043.86, 440,289.78 and 175,813.14 is: 242,627.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,043.86 : 440,289.78 = 175,813.14 : x
  2. Step 2: Convert to fraction form
    319,043.86/440,289.78 = 175,813.14/x
  3. Step 3: Cross multiply
    319,043.86x = 440,289.78 × 175,813.14
  4. Step 4: Simplify right side
    319,043.86x = 77,408,728,731.71
  5. Step 5: Solve for x
    x = 77,408,728,731.71/319,043.86
  6. Step 6: Final answer
    x = 242,627.23

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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.