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Finding the Fourth Proportional to 333,643.20, 499,808.70 and 310,023.60

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Solution

The fourth proportional to 333,643.20, 499,808.70 and 310,023.60 is: 464,425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,643.20 : 499,808.70 = 310,023.60 : x
  2. Step 2: Convert to fraction form
    333,643.20/499,808.70 = 310,023.60/x
  3. Step 3: Cross multiply
    333,643.20x = 499,808.70 × 310,023.60
  4. Step 4: Simplify right side
    333,643.20x = 154,952,492,485.32
  5. Step 5: Solve for x
    x = 154,952,492,485.32/333,643.20
  6. Step 6: Final answer
    x = 464,425.75

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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.