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Finding the Fourth Proportional to 464,897.73, 697,075.64 and 180,255.75

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Solution

The fourth proportional to 464,897.73, 697,075.64 and 180,255.75 is: 270,278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,897.73 : 697,075.64 = 180,255.75 : x
  2. Step 2: Convert to fraction form
    464,897.73/697,075.64 = 180,255.75/x
  3. Step 3: Cross multiply
    464,897.73x = 697,075.64 × 180,255.75
  4. Step 4: Simplify right side
    464,897.73x = 125,651,892,745.57
  5. Step 5: Solve for x
    x = 125,651,892,745.57/464,897.73
  6. Step 6: Final answer
    x = 270,278.57

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Why These Related Problems?

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