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Finding the Fourth Proportional to 700,014.14, 965,766.91 and 458,434.47

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Solution

The fourth proportional to 700,014.14, 965,766.91 and 458,434.47 is: 632,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,014.14 : 965,766.91 = 458,434.47 : x
  2. Step 2: Convert to fraction form
    700,014.14/965,766.91 = 458,434.47/x
  3. Step 3: Cross multiply
    700,014.14x = 965,766.91 × 458,434.47
  4. Step 4: Simplify right side
    700,014.14x = 442,740,841,529.39
  5. Step 5: Solve for x
    x = 442,740,841,529.39/700,014.14
  6. Step 6: Final answer
    x = 632,474.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.