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Finding the Fourth Proportional to 1,046,562, 1,570,077 and 381,714

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Solution

The fourth proportional to 1,046,562, 1,570,077 and 381,714 is: 572,656.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,562 : 1,570,077 = 381,714 : x
  2. Step 2: Convert to fraction form
    1,046,562/1,570,077 = 381,714/x
  3. Step 3: Cross multiply
    1,046,562x = 1,570,077 × 381,714
  4. Step 4: Simplify right side
    1,046,562x = 599,320,371,978
  5. Step 5: Solve for x
    x = 599,320,371,978/1,046,562
  6. Step 6: Final answer
    x = 572,656.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.