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Finding the Fourth Proportional to 978,038.80, 1,467,922.20 and 578,179.60

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Solution

The fourth proportional to 978,038.80, 1,467,922.20 and 578,179.60 is: 867,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,038.80 : 1,467,922.20 = 578,179.60 : x
  2. Step 2: Convert to fraction form
    978,038.80/1,467,922.20 = 578,179.60/x
  3. Step 3: Cross multiply
    978,038.80x = 1,467,922.20 × 578,179.60
  4. Step 4: Simplify right side
    978,038.80x = 848,722,670,427.12
  5. Step 5: Solve for x
    x = 848,722,670,427.12/978,038.80
  6. Step 6: Final answer
    x = 867,780.16

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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.