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Finding the Fourth Proportional to 470,637.01, 706,005.71 and 150,674.47

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Solution

The fourth proportional to 470,637.01, 706,005.71 and 150,674.47 is: 226,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,637.01 : 706,005.71 = 150,674.47 : x
  2. Step 2: Convert to fraction form
    470,637.01/706,005.71 = 150,674.47/x
  3. Step 3: Cross multiply
    470,637.01x = 706,005.71 × 150,674.47
  4. Step 4: Simplify right side
    470,637.01x = 106,377,033,013.16
  5. Step 5: Solve for x
    x = 106,377,033,013.16/470,637.01
  6. Step 6: Final answer
    x = 226,027.77

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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.