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Finding the Fourth Proportional to 1,564,232, 2,158,640.16 and 848,840

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Solution

The fourth proportional to 1,564,232, 2,158,640.16 and 848,840 is: 1,171,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,232 : 2,158,640.16 = 848,840 : x
  2. Step 2: Convert to fraction form
    1,564,232/2,158,640.16 = 848,840/x
  3. Step 3: Cross multiply
    1,564,232x = 2,158,640.16 × 848,840
  4. Step 4: Simplify right side
    1,564,232x = 1,832,340,113,414.40
  5. Step 5: Solve for x
    x = 1,832,340,113,414.40/1,564,232
  6. Step 6: Final answer
    x = 1,171,399.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.