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Finding the Fourth Proportional to 495,199.20, 742,798.80 and 162,775.20

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Solution

The fourth proportional to 495,199.20, 742,798.80 and 162,775.20 is: 244,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,199.20 : 742,798.80 = 162,775.20 : x
  2. Step 2: Convert to fraction form
    495,199.20/742,798.80 = 162,775.20/x
  3. Step 3: Cross multiply
    495,199.20x = 742,798.80 × 162,775.20
  4. Step 4: Simplify right side
    495,199.20x = 120,909,223,229.76
  5. Step 5: Solve for x
    x = 120,909,223,229.76/495,199.20
  6. Step 6: Final answer
    x = 244,162.80

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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.