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Finding the Fourth Proportional to 419,504.71, 578,913.54 and 228,518.11

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Solution

The fourth proportional to 419,504.71, 578,913.54 and 228,518.11 is: 315,353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,504.71 : 578,913.54 = 228,518.11 : x
  2. Step 2: Convert to fraction form
    419,504.71/578,913.54 = 228,518.11/x
  3. Step 3: Cross multiply
    419,504.71x = 578,913.54 × 228,518.11
  4. Step 4: Simplify right side
    419,504.71x = 132,292,225,119.64
  5. Step 5: Solve for x
    x = 132,292,225,119.64/419,504.71
  6. Step 6: Final answer
    x = 315,353.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.