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Finding the Fourth Proportional to 477,751.30, 716,737.65 and 162,208.20

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Solution

The fourth proportional to 477,751.30, 716,737.65 and 162,208.20 is: 243,349.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,751.30 : 716,737.65 = 162,208.20 : x
  2. Step 2: Convert to fraction form
    477,751.30/716,737.65 = 162,208.20/x
  3. Step 3: Cross multiply
    477,751.30x = 716,737.65 × 162,208.20
  4. Step 4: Simplify right side
    477,751.30x = 116,260,724,078.73
  5. Step 5: Solve for x
    x = 116,260,724,078.73/477,751.30
  6. Step 6: Final answer
    x = 243,349.89

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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.