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Finding the Fourth Proportional to 470,962.11, 706,467.60 and 155,443.62

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Solution

The fourth proportional to 470,962.11, 706,467.60 and 155,443.62 is: 233,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,962.11 : 706,467.60 = 155,443.62 : x
  2. Step 2: Convert to fraction form
    470,962.11/706,467.60 = 155,443.62/x
  3. Step 3: Cross multiply
    470,962.11x = 706,467.60 × 155,443.62
  4. Step 4: Simplify right side
    470,962.11x = 109,815,881,156.71
  5. Step 5: Solve for x
    x = 109,815,881,156.71/470,962.11
  6. Step 6: Final answer
    x = 233,173.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.