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Finding the Fourth Proportional to 470,923.82, 706,319.16 and 151,034.10

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Solution

The fourth proportional to 470,923.82, 706,319.16 and 151,034.10 is: 226,529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,923.82 : 706,319.16 = 151,034.10 : x
  2. Step 2: Convert to fraction form
    470,923.82/706,319.16 = 151,034.10/x
  3. Step 3: Cross multiply
    470,923.82x = 706,319.16 × 151,034.10
  4. Step 4: Simplify right side
    470,923.82x = 106,678,278,643.36
  5. Step 5: Solve for x
    x = 106,678,278,643.36/470,923.82
  6. Step 6: Final answer
    x = 226,529.80

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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.