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Finding the Fourth Proportional to 315,409.60, 473,114.40 and 197,311.60

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Solution

The fourth proportional to 315,409.60, 473,114.40 and 197,311.60 is: 295,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,409.60 : 473,114.40 = 197,311.60 : x
  2. Step 2: Convert to fraction form
    315,409.60/473,114.40 = 197,311.60/x
  3. Step 3: Cross multiply
    315,409.60x = 473,114.40 × 197,311.60
  4. Step 4: Simplify right side
    315,409.60x = 93,350,959,247.04
  5. Step 5: Solve for x
    x = 93,350,959,247.04/315,409.60
  6. Step 6: Final answer
    x = 295,967.40

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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.