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Finding the Fourth Proportional to 495,684.87, 742,529.39 and 229,078.23

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Solution

The fourth proportional to 495,684.87, 742,529.39 and 229,078.23 is: 343,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,684.87 : 742,529.39 = 229,078.23 : x
  2. Step 2: Convert to fraction form
    495,684.87/742,529.39 = 229,078.23/x
  3. Step 3: Cross multiply
    495,684.87x = 742,529.39 × 229,078.23
  4. Step 4: Simplify right side
    495,684.87x = 170,097,317,238.79
  5. Step 5: Solve for x
    x = 170,097,317,238.79/495,684.87
  6. Step 6: Final answer
    x = 343,156.16

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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.