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Finding the Fourth Proportional to 397,901.40, 596,852.10 and 390,028.20

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Solution

The fourth proportional to 397,901.40, 596,852.10 and 390,028.20 is: 585,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,901.40 : 596,852.10 = 390,028.20 : x
  2. Step 2: Convert to fraction form
    397,901.40/596,852.10 = 390,028.20/x
  3. Step 3: Cross multiply
    397,901.40x = 596,852.10 × 390,028.20
  4. Step 4: Simplify right side
    397,901.40x = 232,789,150,229.22
  5. Step 5: Solve for x
    x = 232,789,150,229.22/397,901.40
  6. Step 6: Final answer
    x = 585,042.30

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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.