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Finding the Fourth Proportional to 310,442.80, 465,664.20 and 286,823.20

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Solution

The fourth proportional to 310,442.80, 465,664.20 and 286,823.20 is: 430,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,442.80 : 465,664.20 = 286,823.20 : x
  2. Step 2: Convert to fraction form
    310,442.80/465,664.20 = 286,823.20/x
  3. Step 3: Cross multiply
    310,442.80x = 465,664.20 × 286,823.20
  4. Step 4: Simplify right side
    310,442.80x = 133,563,295,969.44
  5. Step 5: Solve for x
    x = 133,563,295,969.44/310,442.80
  6. Step 6: Final answer
    x = 430,234.80

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1.5x scale

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.