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Finding the Fourth Proportional to 403,291.40, 604,994.70 and 137,064.20

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Solution

The fourth proportional to 403,291.40, 604,994.70 and 137,064.20 is: 205,615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,291.40 : 604,994.70 = 137,064.20 : x
  2. Step 2: Convert to fraction form
    403,291.40/604,994.70 = 137,064.20/x
  3. Step 3: Cross multiply
    403,291.40x = 604,994.70 × 137,064.20
  4. Step 4: Simplify right side
    403,291.40x = 82,923,114,559.74
  5. Step 5: Solve for x
    x = 82,923,114,559.74/403,291.40
  6. Step 6: Final answer
    x = 205,615.88

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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.