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Finding the Fourth Proportional to 470,504.98, 705,360.76 and 204,064.89

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Solution

The fourth proportional to 470,504.98, 705,360.76 and 204,064.89 is: 305,925.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,504.98 : 705,360.76 = 204,064.89 : x
  2. Step 2: Convert to fraction form
    470,504.98/705,360.76 = 204,064.89/x
  3. Step 3: Cross multiply
    470,504.98x = 705,360.76 × 204,064.89
  4. Step 4: Simplify right side
    470,504.98x = 143,939,365,899.72
  5. Step 5: Solve for x
    x = 143,939,365,899.72/470,504.98
  6. Step 6: Final answer
    x = 305,925.28

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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.