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Finding the Fourth Proportional to 409,905.52, 610,783.27 and 365,188.66

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Solution

The fourth proportional to 409,905.52, 610,783.27 and 365,188.66 is: 544,152.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,905.52 : 610,783.27 = 365,188.66 : x
  2. Step 2: Convert to fraction form
    409,905.52/610,783.27 = 365,188.66/x
  3. Step 3: Cross multiply
    409,905.52x = 610,783.27 × 365,188.66
  4. Step 4: Simplify right side
    409,905.52x = 223,051,123,921.72
  5. Step 5: Solve for x
    x = 223,051,123,921.72/409,905.52
  6. Step 6: Final answer
    x = 544,152.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.