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Finding the Fourth Proportional to 489,446.64, 734,169.60 and 134,462.16

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Solution

The fourth proportional to 489,446.64, 734,169.60 and 134,462.16 is: 201,693.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,446.64 : 734,169.60 = 134,462.16 : x
  2. Step 2: Convert to fraction form
    489,446.64/734,169.60 = 134,462.16/x
  3. Step 3: Cross multiply
    489,446.64x = 734,169.60 × 134,462.16
  4. Step 4: Simplify right side
    489,446.64x = 98,718,030,222.34
  5. Step 5: Solve for x
    x = 98,718,030,222.34/489,446.64
  6. Step 6: Final answer
    x = 201,693.14

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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.