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Finding the Fourth Proportional to 314,270.84, 433,703.54 and 178,310.52

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Solution

The fourth proportional to 314,270.84, 433,703.54 and 178,310.52 is: 246,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,270.84 : 433,703.54 = 178,310.52 : x
  2. Step 2: Convert to fraction form
    314,270.84/433,703.54 = 178,310.52/x
  3. Step 3: Cross multiply
    314,270.84x = 433,703.54 × 178,310.52
  4. Step 4: Simplify right side
    314,270.84x = 77,333,903,743.24
  5. Step 5: Solve for x
    x = 77,333,903,743.24/314,270.84
  6. Step 6: Final answer
    x = 246,074.07

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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.