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Finding the Fourth Proportional to 471,084.16, 706,648.92 and 155,534.08

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Solution

The fourth proportional to 471,084.16, 706,648.92 and 155,534.08 is: 233,308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,084.16 : 706,648.92 = 155,534.08 : x
  2. Step 2: Convert to fraction form
    471,084.16/706,648.92 = 155,534.08/x
  3. Step 3: Cross multiply
    471,084.16x = 706,648.92 × 155,534.08
  4. Step 4: Simplify right side
    471,084.16x = 109,907,989,655.19
  5. Step 5: Solve for x
    x = 109,907,989,655.19/471,084.16
  6. Step 6: Final answer
    x = 233,308.61

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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.