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Finding the Fourth Proportional to 462,007.90, 691,765.98 and 301,686.76

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Solution

The fourth proportional to 462,007.90, 691,765.98 and 301,686.76 is: 451,716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,007.90 : 691,765.98 = 301,686.76 : x
  2. Step 2: Convert to fraction form
    462,007.90/691,765.98 = 301,686.76/x
  3. Step 3: Cross multiply
    462,007.90x = 691,765.98 × 301,686.76
  4. Step 4: Simplify right side
    462,007.90x = 208,696,637,184.43
  5. Step 5: Solve for x
    x = 208,696,637,184.43/462,007.90
  6. Step 6: Final answer
    x = 451,716.60

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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.