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Finding the Fourth Proportional to 409,908.64, 610,788.12 and 365,191.76

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Solution

The fourth proportional to 409,908.64, 610,788.12 and 365,191.76 is: 544,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,908.64 : 610,788.12 = 365,191.76 : x
  2. Step 2: Convert to fraction form
    409,908.64/610,788.12 = 365,191.76/x
  3. Step 3: Cross multiply
    409,908.64x = 610,788.12 × 365,191.76
  4. Step 4: Simplify right side
    409,908.64x = 223,054,788,529.89
  5. Step 5: Solve for x
    x = 223,054,788,529.89/409,908.64
  6. Step 6: Final answer
    x = 544,157.32

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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.