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Finding the Fourth Proportional to 657,857.34, 907,592.94 and 412,738.20

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Solution

The fourth proportional to 657,857.34, 907,592.94 and 412,738.20 is: 569,421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,857.34 : 907,592.94 = 412,738.20 : x
  2. Step 2: Convert to fraction form
    657,857.34/907,592.94 = 412,738.20/x
  3. Step 3: Cross multiply
    657,857.34x = 907,592.94 × 412,738.20
  4. Step 4: Simplify right side
    657,857.34x = 374,598,276,388.31
  5. Step 5: Solve for x
    x = 374,598,276,388.31/657,857.34
  6. Step 6: Final answer
    x = 569,421.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.