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Finding the Fourth Proportional to 403,098.68, 604,648.01 and 146,950.46

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Solution

The fourth proportional to 403,098.68, 604,648.01 and 146,950.46 is: 220,425.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,098.68 : 604,648.01 = 146,950.46 : x
  2. Step 2: Convert to fraction form
    403,098.68/604,648.01 = 146,950.46/x
  3. Step 3: Cross multiply
    403,098.68x = 604,648.01 × 146,950.46
  4. Step 4: Simplify right side
    403,098.68x = 88,853,303,207.58
  5. Step 5: Solve for x
    x = 88,853,303,207.58/403,098.68
  6. Step 6: Final answer
    x = 220,425.69

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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.