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Finding the Fourth Proportional to 314,297.52, 433,741.68 and 178,332

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Solution

The fourth proportional to 314,297.52, 433,741.68 and 178,332 is: 246,104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,297.52 : 433,741.68 = 178,332 : x
  2. Step 2: Convert to fraction form
    314,297.52/433,741.68 = 178,332/x
  3. Step 3: Cross multiply
    314,297.52x = 433,741.68 × 178,332
  4. Step 4: Simplify right side
    314,297.52x = 77,350,021,277.76
  5. Step 5: Solve for x
    x = 77,350,021,277.76/314,297.52
  6. Step 6: Final answer
    x = 246,104.46

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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.