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Finding the Fourth Proportional to 465,045.28, 697,565.76 and 307,977.28

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Solution

The fourth proportional to 465,045.28, 697,565.76 and 307,977.28 is: 461,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,045.28 : 697,565.76 = 307,977.28 : x
  2. Step 2: Convert to fraction form
    465,045.28/697,565.76 = 307,977.28/x
  3. Step 3: Cross multiply
    465,045.28x = 697,565.76 × 307,977.28
  4. Step 4: Simplify right side
    465,045.28x = 214,834,405,385.93
  5. Step 5: Solve for x
    x = 214,834,405,385.93/465,045.28
  6. Step 6: Final answer
    x = 461,964.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.