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Finding the Fourth Proportional to 465,071.40, 697,607.10 and 461,572.20

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Solution

The fourth proportional to 465,071.40, 697,607.10 and 461,572.20 is: 692,358.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,071.40 : 697,607.10 = 461,572.20 : x
  2. Step 2: Convert to fraction form
    465,071.40/697,607.10 = 461,572.20/x
  3. Step 3: Cross multiply
    465,071.40x = 697,607.10 × 461,572.20
  4. Step 4: Simplify right side
    465,071.40x = 321,996,043,882.62
  5. Step 5: Solve for x
    x = 321,996,043,882.62/465,071.40
  6. Step 6: Final answer
    x = 692,358.30

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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.