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Finding the Fourth Proportional to 470,967.14, 706,475.10 and 155,448.62

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Solution

The fourth proportional to 470,967.14, 706,475.10 and 155,448.62 is: 233,180.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,967.14 : 706,475.10 = 155,448.62 : x
  2. Step 2: Convert to fraction form
    470,967.14/706,475.10 = 155,448.62/x
  3. Step 3: Cross multiply
    470,967.14x = 706,475.10 × 155,448.62
  4. Step 4: Simplify right side
    470,967.14x = 109,820,579,359.36
  5. Step 5: Solve for x
    x = 109,820,579,359.36/470,967.14
  6. Step 6: Final answer
    x = 233,180.98

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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.