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Finding the Fourth Proportional to 978,096.30, 1,468,008.45 and 578,237.10

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Solution

The fourth proportional to 978,096.30, 1,468,008.45 and 578,237.10 is: 867,866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,096.30 : 1,468,008.45 = 578,237.10 : x
  2. Step 2: Convert to fraction form
    978,096.30/1,468,008.45 = 578,237.10/x
  3. Step 3: Cross multiply
    978,096.30x = 1,468,008.45 × 578,237.10
  4. Step 4: Simplify right side
    978,096.30x = 848,856,948,903.50
  5. Step 5: Solve for x
    x = 848,856,948,903.50/978,096.30
  6. Step 6: Final answer
    x = 867,866.43

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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.