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Finding the Fourth Proportional to 477,468.96, 716,219.44 and 145,044

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Solution

The fourth proportional to 477,468.96, 716,219.44 and 145,044 is: 217,570.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,468.96 : 716,219.44 = 145,044 : x
  2. Step 2: Convert to fraction form
    477,468.96/716,219.44 = 145,044/x
  3. Step 3: Cross multiply
    477,468.96x = 716,219.44 × 145,044
  4. Step 4: Simplify right side
    477,468.96x = 103,883,332,455.36
  5. Step 5: Solve for x
    x = 103,883,332,455.36/477,468.96
  6. Step 6: Final answer
    x = 217,570.86

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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.