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Finding the Fourth Proportional to 310,246.20, 465,455.70 and 152,479.80

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Solution

The fourth proportional to 310,246.20, 465,455.70 and 152,479.80 is: 228,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,246.20 : 465,455.70 = 152,479.80 : x
  2. Step 2: Convert to fraction form
    310,246.20/465,455.70 = 152,479.80/x
  3. Step 3: Cross multiply
    310,246.20x = 465,455.70 × 152,479.80
  4. Step 4: Simplify right side
    310,246.20x = 70,972,592,044.86
  5. Step 5: Solve for x
    x = 70,972,592,044.86/310,246.20
  6. Step 6: Final answer
    x = 228,762.16

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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.