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Finding the Fourth Proportional to 1,046,566, 1,570,083 and 381,718

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Solution

The fourth proportional to 1,046,566, 1,570,083 and 381,718 is: 572,662.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,566 : 1,570,083 = 381,718 : x
  2. Step 2: Convert to fraction form
    1,046,566/1,570,083 = 381,718/x
  3. Step 3: Cross multiply
    1,046,566x = 1,570,083 × 381,718
  4. Step 4: Simplify right side
    1,046,566x = 599,328,942,594
  5. Step 5: Solve for x
    x = 599,328,942,594/1,046,566
  6. Step 6: Final answer
    x = 572,662.35

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Why These Related Problems?

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