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Finding the Fourth Proportional to 470,784.80, 705,010.80 and 302,045.60

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Solution

The fourth proportional to 470,784.80, 705,010.80 and 302,045.60 is: 452,320.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,784.80 : 705,010.80 = 302,045.60 : x
  2. Step 2: Convert to fraction form
    470,784.80/705,010.80 = 302,045.60/x
  3. Step 3: Cross multiply
    470,784.80x = 705,010.80 × 302,045.60
  4. Step 4: Simplify right side
    470,784.80x = 212,945,410,092.48
  5. Step 5: Solve for x
    x = 212,945,410,092.48/470,784.80
  6. Step 6: Final answer
    x = 452,320.06

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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.