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Finding the Fourth Proportional to 509,084.84, 702,452.76 and 294,244.96

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Solution

The fourth proportional to 509,084.84, 702,452.76 and 294,244.96 is: 406,009.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,084.84 : 702,452.76 = 294,244.96 : x
  2. Step 2: Convert to fraction form
    509,084.84/702,452.76 = 294,244.96/x
  3. Step 3: Cross multiply
    509,084.84x = 702,452.76 × 294,244.96
  4. Step 4: Simplify right side
    509,084.84x = 206,693,184,268.09
  5. Step 5: Solve for x
    x = 206,693,184,268.09/509,084.84
  6. Step 6: Final answer
    x = 406,009.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.