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Finding the Fourth Proportional to 541,010.34, 746,141.22 and 405,362.88

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Solution

The fourth proportional to 541,010.34, 746,141.22 and 405,362.88 is: 559,061.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,010.34 : 746,141.22 = 405,362.88 : x
  2. Step 2: Convert to fraction form
    541,010.34/746,141.22 = 405,362.88/x
  3. Step 3: Cross multiply
    541,010.34x = 746,141.22 × 405,362.88
  4. Step 4: Simplify right side
    541,010.34x = 302,457,953,825.91
  5. Step 5: Solve for x
    x = 302,457,953,825.91/541,010.34
  6. Step 6: Final answer
    x = 559,061.32

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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.