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Finding the Fourth Proportional to 495,907.16, 743,909.94 and 196,594.34

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Solution

The fourth proportional to 495,907.16, 743,909.94 and 196,594.34 is: 294,911.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,907.16 : 743,909.94 = 196,594.34 : x
  2. Step 2: Convert to fraction form
    495,907.16/743,909.94 = 196,594.34/x
  3. Step 3: Cross multiply
    495,907.16x = 743,909.94 × 196,594.34
  4. Step 4: Simplify right side
    495,907.16x = 146,248,479,954.19
  5. Step 5: Solve for x
    x = 146,248,479,954.19/495,907.16
  6. Step 6: Final answer
    x = 294,911.01

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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.