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Finding the Fourth Proportional to 1,046,491, 1,569,970.50 and 381,643

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Solution

The fourth proportional to 1,046,491, 1,569,970.50 and 381,643 is: 572,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,491 : 1,569,970.50 = 381,643 : x
  2. Step 2: Convert to fraction form
    1,046,491/1,569,970.50 = 381,643/x
  3. Step 3: Cross multiply
    1,046,491x = 1,569,970.50 × 381,643
  4. Step 4: Simplify right side
    1,046,491x = 599,168,251,531.50
  5. Step 5: Solve for x
    x = 599,168,251,531.50/1,046,491
  6. Step 6: Final answer
    x = 572,549.84

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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.