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Finding the Fourth Proportional to 509,304.62, 702,799.23 and 294,458.53

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Solution

The fourth proportional to 509,304.62, 702,799.23 and 294,458.53 is: 406,328.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,304.62 : 702,799.23 = 294,458.53 : x
  2. Step 2: Convert to fraction form
    509,304.62/702,799.23 = 294,458.53/x
  3. Step 3: Cross multiply
    509,304.62x = 702,799.23 × 294,458.53
  4. Step 4: Simplify right side
    509,304.62x = 206,945,228,150.93
  5. Step 5: Solve for x
    x = 206,945,228,150.93/509,304.62
  6. Step 6: Final answer
    x = 406,328.98

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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.