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Finding the Fourth Proportional to 456,022.10, 638,897.50 and 456,022.10

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Solution

The fourth proportional to 456,022.10, 638,897.50 and 456,022.10 is: 638,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,022.10 : 638,897.50 = 456,022.10 : x
  2. Step 2: Convert to fraction form
    456,022.10/638,897.50 = 456,022.10/x
  3. Step 3: Cross multiply
    456,022.10x = 638,897.50 × 456,022.10
  4. Step 4: Simplify right side
    456,022.10x = 291,351,379,634.75
  5. Step 5: Solve for x
    x = 291,351,379,634.75/456,022.10
  6. Step 6: Final answer
    x = 638,897.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.