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Finding the Fourth Proportional to 319,196.86, 440,494.74 and 175,962.07

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Solution

The fourth proportional to 319,196.86, 440,494.74 and 175,962.07 is: 242,829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,196.86 : 440,494.74 = 175,962.07 : x
  2. Step 2: Convert to fraction form
    319,196.86/440,494.74 = 175,962.07/x
  3. Step 3: Cross multiply
    319,196.86x = 440,494.74 × 175,962.07
  4. Step 4: Simplify right side
    319,196.86x = 77,510,366,274.51
  5. Step 5: Solve for x
    x = 77,510,366,274.51/319,196.86
  6. Step 6: Final answer
    x = 242,829.35

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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.