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Finding the Fourth Proportional to 509,098.96, 702,515.46 and 294,252.94

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Solution

The fourth proportional to 509,098.96, 702,515.46 and 294,252.94 is: 406,045.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,098.96 : 702,515.46 = 294,252.94 : x
  2. Step 2: Convert to fraction form
    509,098.96/702,515.46 = 294,252.94/x
  3. Step 3: Cross multiply
    509,098.96x = 702,515.46 × 294,252.94
  4. Step 4: Simplify right side
    509,098.96x = 206,717,239,500.45
  5. Step 5: Solve for x
    x = 206,717,239,500.45/509,098.96
  6. Step 6: Final answer
    x = 406,045.30

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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.