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Finding the Fourth Proportional to 779,020, 1,075,047.60 and 421,324

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Solution

The fourth proportional to 779,020, 1,075,047.60 and 421,324 is: 581,427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,020 : 1,075,047.60 = 421,324 : x
  2. Step 2: Convert to fraction form
    779,020/1,075,047.60 = 421,324/x
  3. Step 3: Cross multiply
    779,020x = 1,075,047.60 × 421,324
  4. Step 4: Simplify right side
    779,020x = 452,943,355,022.40
  5. Step 5: Solve for x
    x = 452,943,355,022.40/779,020
  6. Step 6: Final answer
    x = 581,427.12

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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.