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Finding the Fourth Proportional to 470,706.04, 706,105.26 and 133,762.24

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Solution

The fourth proportional to 470,706.04, 706,105.26 and 133,762.24 is: 200,656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,706.04 : 706,105.26 = 133,762.24 : x
  2. Step 2: Convert to fraction form
    470,706.04/706,105.26 = 133,762.24/x
  3. Step 3: Cross multiply
    470,706.04x = 706,105.26 × 133,762.24
  4. Step 4: Simplify right side
    470,706.04x = 94,450,221,253.38
  5. Step 5: Solve for x
    x = 94,450,221,253.38/470,706.04
  6. Step 6: Final answer
    x = 200,656.49

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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.