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Finding the Fourth Proportional to 333,675.70, 499,857.45 and 310,056.10

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Solution

The fourth proportional to 333,675.70, 499,857.45 and 310,056.10 is: 464,474.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,675.70 : 499,857.45 = 310,056.10 : x
  2. Step 2: Convert to fraction form
    333,675.70/499,857.45 = 310,056.10/x
  3. Step 3: Cross multiply
    333,675.70x = 499,857.45 × 310,056.10
  4. Step 4: Simplify right side
    333,675.70x = 154,983,851,502.95
  5. Step 5: Solve for x
    x = 154,983,851,502.95/333,675.70
  6. Step 6: Final answer
    x = 464,474.49

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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.