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Finding the Fourth Proportional to 665,097.84, 997,794.30 and 191,746.26

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Solution

The fourth proportional to 665,097.84, 997,794.30 and 191,746.26 is: 287,661.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,097.84 : 997,794.30 = 191,746.26 : x
  2. Step 2: Convert to fraction form
    665,097.84/997,794.30 = 191,746.26/x
  3. Step 3: Cross multiply
    665,097.84x = 997,794.30 × 191,746.26
  4. Step 4: Simplify right side
    665,097.84x = 191,323,325,274.32
  5. Step 5: Solve for x
    x = 191,323,325,274.32/665,097.84
  6. Step 6: Final answer
    x = 287,661.93

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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.