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Finding the Fourth Proportional to 477,646.62, 716,586.57 and 197,244.06

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Solution

The fourth proportional to 477,646.62, 716,586.57 and 197,244.06 is: 295,914.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,646.62 : 716,586.57 = 197,244.06 : x
  2. Step 2: Convert to fraction form
    477,646.62/716,586.57 = 197,244.06/x
  3. Step 3: Cross multiply
    477,646.62x = 716,586.57 × 197,244.06
  4. Step 4: Simplify right side
    477,646.62x = 141,342,444,408.27
  5. Step 5: Solve for x
    x = 141,342,444,408.27/477,646.62
  6. Step 6: Final answer
    x = 295,914.26

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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.