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Finding the Fourth Proportional to 564,828, 779,467.69 and 310,181.01

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Solution

The fourth proportional to 564,828, 779,467.69 and 310,181.01 is: 428,052.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,828 : 779,467.69 = 310,181.01 : x
  2. Step 2: Convert to fraction form
    564,828/779,467.69 = 310,181.01/x
  3. Step 3: Cross multiply
    564,828x = 779,467.69 × 310,181.01
  4. Step 4: Simplify right side
    564,828x = 241,776,075,346.57
  5. Step 5: Solve for x
    x = 241,776,075,346.57/564,828
  6. Step 6: Final answer
    x = 428,052.57

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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.