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Finding the Fourth Proportional to 464,439, 696,075.66 and 251,198.40

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Solution

The fourth proportional to 464,439, 696,075.66 and 251,198.40 is: 376,482.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,439 : 696,075.66 = 251,198.40 : x
  2. Step 2: Convert to fraction form
    464,439/696,075.66 = 251,198.40/x
  3. Step 3: Cross multiply
    464,439x = 696,075.66 × 251,198.40
  4. Step 4: Simplify right side
    464,439x = 174,853,092,070.94
  5. Step 5: Solve for x
    x = 174,853,092,070.94/464,439
  6. Step 6: Final answer
    x = 376,482.36

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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.