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Finding the Fourth Proportional to 561,638.60, 842,457.90 and 540,643.40

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Solution

The fourth proportional to 561,638.60, 842,457.90 and 540,643.40 is: 810,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,638.60 : 842,457.90 = 540,643.40 : x
  2. Step 2: Convert to fraction form
    561,638.60/842,457.90 = 540,643.40/x
  3. Step 3: Cross multiply
    561,638.60x = 842,457.90 × 540,643.40
  4. Step 4: Simplify right side
    561,638.60x = 455,469,303,412.86
  5. Step 5: Solve for x
    x = 455,469,303,412.86/561,638.60
  6. Step 6: Final answer
    x = 810,965.10

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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.