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Finding the Fourth Proportional to 470,491.20, 705,909.60 and 190,036.80

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Solution

The fourth proportional to 470,491.20, 705,909.60 and 190,036.80 is: 285,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,491.20 : 705,909.60 = 190,036.80 : x
  2. Step 2: Convert to fraction form
    470,491.20/705,909.60 = 190,036.80/x
  3. Step 3: Cross multiply
    470,491.20x = 705,909.60 × 190,036.80
  4. Step 4: Simplify right side
    470,491.20x = 134,148,801,473.28
  5. Step 5: Solve for x
    x = 134,148,801,473.28/470,491.20
  6. Step 6: Final answer
    x = 285,125.00

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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.