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Finding the Fourth Proportional to 464,897.40, 697,346.10 and 464,897.40

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Solution

The fourth proportional to 464,897.40, 697,346.10 and 464,897.40 is: 697,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,897.40 : 697,346.10 = 464,897.40 : x
  2. Step 2: Convert to fraction form
    464,897.40/697,346.10 = 464,897.40/x
  3. Step 3: Cross multiply
    464,897.40x = 697,346.10 × 464,897.40
  4. Step 4: Simplify right side
    464,897.40x = 324,194,388,790.14
  5. Step 5: Solve for x
    x = 324,194,388,790.14/464,897.40
  6. Step 6: Final answer
    x = 697,346.10

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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.