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Finding the Fourth Proportional to 311,225.40, 466,838.10 and 304,313.40

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Solution

The fourth proportional to 311,225.40, 466,838.10 and 304,313.40 is: 456,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,225.40 : 466,838.10 = 304,313.40 : x
  2. Step 2: Convert to fraction form
    311,225.40/466,838.10 = 304,313.40/x
  3. Step 3: Cross multiply
    311,225.40x = 466,838.10 × 304,313.40
  4. Step 4: Simplify right side
    311,225.40x = 142,065,089,460.54
  5. Step 5: Solve for x
    x = 142,065,089,460.54/311,225.40
  6. Step 6: Final answer
    x = 456,470.10

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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.