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Finding the Fourth Proportional to 302,734, 417,785.88 and 168,598

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Solution

The fourth proportional to 302,734, 417,785.88 and 168,598 is: 232,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,734 : 417,785.88 = 168,598 : x
  2. Step 2: Convert to fraction form
    302,734/417,785.88 = 168,598/x
  3. Step 3: Cross multiply
    302,734x = 417,785.88 × 168,598
  4. Step 4: Simplify right side
    302,734x = 70,437,863,796.24
  5. Step 5: Solve for x
    x = 70,437,863,796.24/302,734
  6. Step 6: Final answer
    x = 232,672.46

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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.