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Finding the Fourth Proportional to 509,089.72, 702,502.82 and 294,243.70

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Solution

The fourth proportional to 509,089.72, 702,502.82 and 294,243.70 is: 406,032.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,089.72 : 702,502.82 = 294,243.70 : x
  2. Step 2: Convert to fraction form
    509,089.72/702,502.82 = 294,243.70/x
  3. Step 3: Cross multiply
    509,089.72x = 702,502.82 × 294,243.70
  4. Step 4: Simplify right side
    509,089.72x = 206,707,029,017.23
  5. Step 5: Solve for x
    x = 206,707,029,017.23/509,089.72
  6. Step 6: Final answer
    x = 406,032.61

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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.