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Finding the Fourth Proportional to 779,013, 1,075,037.94 and 421,317

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Solution

The fourth proportional to 779,013, 1,075,037.94 and 421,317 is: 581,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,013 : 1,075,037.94 = 421,317 : x
  2. Step 2: Convert to fraction form
    779,013/1,075,037.94 = 421,317/x
  3. Step 3: Cross multiply
    779,013x = 1,075,037.94 × 421,317
  4. Step 4: Simplify right side
    779,013x = 452,931,759,766.98
  5. Step 5: Solve for x
    x = 452,931,759,766.98/779,013
  6. Step 6: Final answer
    x = 581,417.46

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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.