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Finding the Fourth Proportional to 430,785.84, 646,178.76 and 193,851.72

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Solution

The fourth proportional to 430,785.84, 646,178.76 and 193,851.72 is: 290,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,785.84 : 646,178.76 = 193,851.72 : x
  2. Step 2: Convert to fraction form
    430,785.84/646,178.76 = 193,851.72/x
  3. Step 3: Cross multiply
    430,785.84x = 646,178.76 × 193,851.72
  4. Step 4: Simplify right side
    430,785.84x = 125,262,864,053.47
  5. Step 5: Solve for x
    x = 125,262,864,053.47/430,785.84
  6. Step 6: Final answer
    x = 290,777.58

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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.