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Finding the Fourth Proportional to 470,561.30, 705,840.28 and 133,602.01

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Solution

The fourth proportional to 470,561.30, 705,840.28 and 133,602.01 is: 200,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,561.30 : 705,840.28 = 133,602.01 : x
  2. Step 2: Convert to fraction form
    470,561.30/705,840.28 = 133,602.01/x
  3. Step 3: Cross multiply
    470,561.30x = 705,840.28 × 133,602.01
  4. Step 4: Simplify right side
    470,561.30x = 94,301,678,048.36
  5. Step 5: Solve for x
    x = 94,301,678,048.36/470,561.30
  6. Step 6: Final answer
    x = 200,402.54

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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.