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Finding the Fourth Proportional to 476,400.82, 657,389.42 and 282,775.46

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Solution

The fourth proportional to 476,400.82, 657,389.42 and 282,775.46 is: 390,204.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,400.82 : 657,389.42 = 282,775.46 : x
  2. Step 2: Convert to fraction form
    476,400.82/657,389.42 = 282,775.46/x
  3. Step 3: Cross multiply
    476,400.82x = 657,389.42 × 282,775.46
  4. Step 4: Simplify right side
    476,400.82x = 185,893,591,999.22
  5. Step 5: Solve for x
    x = 185,893,591,999.22/476,400.82
  6. Step 6: Final answer
    x = 390,204.18

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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.