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Finding the Fourth Proportional to 683,938.65, 943,950.15 and 463,075.77

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Solution

The fourth proportional to 683,938.65, 943,950.15 and 463,075.77 is: 639,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,938.65 : 943,950.15 = 463,075.77 : x
  2. Step 2: Convert to fraction form
    683,938.65/943,950.15 = 463,075.77/x
  3. Step 3: Cross multiply
    683,938.65x = 943,950.15 × 463,075.77
  4. Step 4: Simplify right side
    683,938.65x = 437,120,442,552.87
  5. Step 5: Solve for x
    x = 437,120,442,552.87/683,938.65
  6. Step 6: Final answer
    x = 639,122.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.