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Finding the Fourth Proportional to 561,664.60, 842,496.90 and 461,937.40

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Solution

The fourth proportional to 561,664.60, 842,496.90 and 461,937.40 is: 692,906.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,664.60 : 842,496.90 = 461,937.40 : x
  2. Step 2: Convert to fraction form
    561,664.60/842,496.90 = 461,937.40/x
  3. Step 3: Cross multiply
    561,664.60x = 842,496.90 × 461,937.40
  4. Step 4: Simplify right side
    561,664.60x = 389,180,827,494.06
  5. Step 5: Solve for x
    x = 389,180,827,494.06/561,664.60
  6. Step 6: Final answer
    x = 692,906.10

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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.