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Finding the Fourth Proportional to 779,352, 1,075,505.76 and 421,656

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Solution

The fourth proportional to 779,352, 1,075,505.76 and 421,656 is: 581,885.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,352 : 1,075,505.76 = 421,656 : x
  2. Step 2: Convert to fraction form
    779,352/1,075,505.76 = 421,656/x
  3. Step 3: Cross multiply
    779,352x = 1,075,505.76 × 421,656
  4. Step 4: Simplify right side
    779,352x = 453,493,456,738.56
  5. Step 5: Solve for x
    x = 453,493,456,738.56/779,352
  6. Step 6: Final answer
    x = 581,885.28

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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.