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Finding the Fourth Proportional to 779,019, 1,075,046.22 and 421,323

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Solution

The fourth proportional to 779,019, 1,075,046.22 and 421,323 is: 581,425.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,019 : 1,075,046.22 = 421,323 : x
  2. Step 2: Convert to fraction form
    779,019/1,075,046.22 = 421,323/x
  3. Step 3: Cross multiply
    779,019x = 1,075,046.22 × 421,323
  4. Step 4: Simplify right side
    779,019x = 452,941,698,549.06
  5. Step 5: Solve for x
    x = 452,941,698,549.06/779,019
  6. Step 6: Final answer
    x = 581,425.74

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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.