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Finding the Fourth Proportional to 590,978.20, 886,467.30 and 402,021.40

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Solution

The fourth proportional to 590,978.20, 886,467.30 and 402,021.40 is: 603,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,978.20 : 886,467.30 = 402,021.40 : x
  2. Step 2: Convert to fraction form
    590,978.20/886,467.30 = 402,021.40/x
  3. Step 3: Cross multiply
    590,978.20x = 886,467.30 × 402,021.40
  4. Step 4: Simplify right side
    590,978.20x = 356,378,825,000.22
  5. Step 5: Solve for x
    x = 356,378,825,000.22/590,978.20
  6. Step 6: Final answer
    x = 603,032.10

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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.