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Finding the Fourth Proportional to 477,651.92, 716,451.96 and 145,202

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Solution

The fourth proportional to 477,651.92, 716,451.96 and 145,202 is: 217,795.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,651.92 : 716,451.96 = 145,202 : x
  2. Step 2: Convert to fraction form
    477,651.92/716,451.96 = 145,202/x
  3. Step 3: Cross multiply
    477,651.92x = 716,451.96 × 145,202
  4. Step 4: Simplify right side
    477,651.92x = 104,030,257,495.92
  5. Step 5: Solve for x
    x = 104,030,257,495.92/477,651.92
  6. Step 6: Final answer
    x = 217,795.12

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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.