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Finding the Fourth Proportional to 851,709.36, 1,277,564.58 and 477,994.80

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Solution

The fourth proportional to 851,709.36, 1,277,564.58 and 477,994.80 is: 716,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,709.36 : 1,277,564.58 = 477,994.80 : x
  2. Step 2: Convert to fraction form
    851,709.36/1,277,564.58 = 477,994.80/x
  3. Step 3: Cross multiply
    851,709.36x = 1,277,564.58 × 477,994.80
  4. Step 4: Simplify right side
    851,709.36x = 610,669,225,904.18
  5. Step 5: Solve for x
    x = 610,669,225,904.18/851,709.36
  6. Step 6: Final answer
    x = 716,992.50

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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.