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Finding the Fourth Proportional to 509,144.65, 702,541.54 and 294,243.23

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Solution

The fourth proportional to 509,144.65, 702,541.54 and 294,243.23 is: 406,010.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,144.65 : 702,541.54 = 294,243.23 : x
  2. Step 2: Convert to fraction form
    509,144.65/702,541.54 = 294,243.23/x
  3. Step 3: Cross multiply
    509,144.65x = 702,541.54 × 294,243.23
  4. Step 4: Simplify right side
    509,144.65x = 206,718,091,938.77
  5. Step 5: Solve for x
    x = 206,718,091,938.77/509,144.65
  6. Step 6: Final answer
    x = 406,010.54

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Double scale
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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.