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Finding the Fourth Proportional to 310,313.60, 465,470.40 and 204,025.40

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Solution

The fourth proportional to 310,313.60, 465,470.40 and 204,025.40 is: 306,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,313.60 : 465,470.40 = 204,025.40 : x
  2. Step 2: Convert to fraction form
    310,313.60/465,470.40 = 204,025.40/x
  3. Step 3: Cross multiply
    310,313.60x = 465,470.40 × 204,025.40
  4. Step 4: Simplify right side
    310,313.60x = 94,967,784,548.16
  5. Step 5: Solve for x
    x = 94,967,784,548.16/310,313.60
  6. Step 6: Final answer
    x = 306,038.10

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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.