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Finding the Fourth Proportional to 700,013.14, 965,765.53 and 458,433.47

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Solution

The fourth proportional to 700,013.14, 965,765.53 and 458,433.47 is: 632,472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,013.14 : 965,765.53 = 458,433.47 : x
  2. Step 2: Convert to fraction form
    700,013.14/965,765.53 = 458,433.47/x
  3. Step 3: Cross multiply
    700,013.14x = 965,765.53 × 458,433.47
  4. Step 4: Simplify right side
    700,013.14x = 442,739,246,111.75
  5. Step 5: Solve for x
    x = 442,739,246,111.75/700,013.14
  6. Step 6: Final answer
    x = 632,472.77

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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.