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Finding the Fourth Proportional to 408,051.80, 612,077.70 and 313,573.40

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Solution

The fourth proportional to 408,051.80, 612,077.70 and 313,573.40 is: 470,360.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,051.80 : 612,077.70 = 313,573.40 : x
  2. Step 2: Convert to fraction form
    408,051.80/612,077.70 = 313,573.40/x
  3. Step 3: Cross multiply
    408,051.80x = 612,077.70 × 313,573.40
  4. Step 4: Simplify right side
    408,051.80x = 191,931,285,453.18
  5. Step 5: Solve for x
    x = 191,931,285,453.18/408,051.80
  6. Step 6: Final answer
    x = 470,360.10

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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.