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Finding the Fourth Proportional to 471,056.49, 706,478.52 and 134,089.68

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Solution

The fourth proportional to 471,056.49, 706,478.52 and 134,089.68 is: 201,104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,056.49 : 706,478.52 = 134,089.68 : x
  2. Step 2: Convert to fraction form
    471,056.49/706,478.52 = 134,089.68/x
  3. Step 3: Cross multiply
    471,056.49x = 706,478.52 × 134,089.68
  4. Step 4: Simplify right side
    471,056.49x = 94,731,478,673.67
  5. Step 5: Solve for x
    x = 94,731,478,673.67/471,056.49
  6. Step 6: Final answer
    x = 201,104.29

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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.