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Finding the Fourth Proportional to 470,534.24, 705,404.48 and 204,094.08

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Solution

The fourth proportional to 470,534.24, 705,404.48 and 204,094.08 is: 305,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,534.24 : 705,404.48 = 204,094.08 : x
  2. Step 2: Convert to fraction form
    470,534.24/705,404.48 = 204,094.08/x
  3. Step 3: Cross multiply
    470,534.24x = 705,404.48 × 204,094.08
  4. Step 4: Simplify right side
    470,534.24x = 143,968,878,373.48
  5. Step 5: Solve for x
    x = 143,968,878,373.48/470,534.24
  6. Step 6: Final answer
    x = 305,968.97

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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.