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Finding the Fourth Proportional to 470,718.36, 706,077.90 and 133,715.52

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Solution

The fourth proportional to 470,718.36, 706,077.90 and 133,715.52 is: 200,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,718.36 : 706,077.90 = 133,715.52 : x
  2. Step 2: Convert to fraction form
    470,718.36/706,077.90 = 133,715.52/x
  3. Step 3: Cross multiply
    470,718.36x = 706,077.90 × 133,715.52
  4. Step 4: Simplify right side
    470,718.36x = 94,413,573,559.01
  5. Step 5: Solve for x
    x = 94,413,573,559.01/470,718.36
  6. Step 6: Final answer
    x = 200,573.38

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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.