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Finding the Fourth Proportional to 495,202.54, 742,518.90 and 264,106.42

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Solution

The fourth proportional to 495,202.54, 742,518.90 and 264,106.42 is: 396,007.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,202.54 : 742,518.90 = 264,106.42 : x
  2. Step 2: Convert to fraction form
    495,202.54/742,518.90 = 264,106.42/x
  3. Step 3: Cross multiply
    495,202.54x = 742,518.90 × 264,106.42
  4. Step 4: Simplify right side
    495,202.54x = 196,104,008,461.34
  5. Step 5: Solve for x
    x = 196,104,008,461.34/495,202.54
  6. Step 6: Final answer
    x = 396,007.68

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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.