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Finding the Fourth Proportional to 319,094.74, 440,353.65 and 175,859.98

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Solution

The fourth proportional to 319,094.74, 440,353.65 and 175,859.98 is: 242,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,094.74 : 440,353.65 = 175,859.98 : x
  2. Step 2: Convert to fraction form
    319,094.74/440,353.65 = 175,859.98/x
  3. Step 3: Cross multiply
    319,094.74x = 440,353.65 × 175,859.98
  4. Step 4: Simplify right side
    319,094.74x = 77,440,584,081.93
  5. Step 5: Solve for x
    x = 77,440,584,081.93/319,094.74
  6. Step 6: Final answer
    x = 242,688.38

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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.