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Finding the Fourth Proportional to 779,596, 1,075,842.56 and 421,900

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Solution

The fourth proportional to 779,596, 1,075,842.56 and 421,900 is: 582,222.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,596 : 1,075,842.56 = 421,900 : x
  2. Step 2: Convert to fraction form
    779,596/1,075,842.56 = 421,900/x
  3. Step 3: Cross multiply
    779,596x = 1,075,842.56 × 421,900
  4. Step 4: Simplify right side
    779,596x = 453,897,976,064
  5. Step 5: Solve for x
    x = 453,897,976,064/779,596
  6. Step 6: Final answer
    x = 582,222.04

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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.