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Finding the Fourth Proportional to 808,709.40, 1,213,841.70 and 409,800.60

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Solution

The fourth proportional to 808,709.40, 1,213,841.70 and 409,800.60 is: 615,094.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,709.40 : 1,213,841.70 = 409,800.60 : x
  2. Step 2: Convert to fraction form
    808,709.40/1,213,841.70 = 409,800.60/x
  3. Step 3: Cross multiply
    808,709.40x = 1,213,841.70 × 409,800.60
  4. Step 4: Simplify right side
    808,709.40x = 497,433,056,965.02
  5. Step 5: Solve for x
    x = 497,433,056,965.02/808,709.40
  6. Step 6: Final answer
    x = 615,094.94

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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.