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Finding the Fourth Proportional to 408,024.20, 612,036.30 and 289,051.40

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Solution

The fourth proportional to 408,024.20, 612,036.30 and 289,051.40 is: 433,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,024.20 : 612,036.30 = 289,051.40 : x
  2. Step 2: Convert to fraction form
    408,024.20/612,036.30 = 289,051.40/x
  3. Step 3: Cross multiply
    408,024.20x = 612,036.30 × 289,051.40
  4. Step 4: Simplify right side
    408,024.20x = 176,909,949,365.82
  5. Step 5: Solve for x
    x = 176,909,949,365.82/408,024.20
  6. Step 6: Final answer
    x = 433,577.10

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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.