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Finding the Fourth Proportional to 409,913.64, 610,795.55 and 365,196.80

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Solution

The fourth proportional to 409,913.64, 610,795.55 and 365,196.80 is: 544,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,913.64 : 610,795.55 = 365,196.80 : x
  2. Step 2: Convert to fraction form
    409,913.64/610,795.55 = 365,196.80/x
  3. Step 3: Cross multiply
    409,913.64x = 610,795.55 × 365,196.80
  4. Step 4: Simplify right side
    409,913.64x = 223,060,580,314.24
  5. Step 5: Solve for x
    x = 223,060,580,314.24/409,913.64
  6. Step 6: Final answer
    x = 544,164.82

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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.