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Finding the Fourth Proportional to 475,076.97, 655,598.11 and 257,283.89

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Solution

The fourth proportional to 475,076.97, 655,598.11 and 257,283.89 is: 355,047.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,076.97 : 655,598.11 = 257,283.89 : x
  2. Step 2: Convert to fraction form
    475,076.97/655,598.11 = 257,283.89/x
  3. Step 3: Cross multiply
    475,076.97x = 655,598.11 × 257,283.89
  4. Step 4: Simplify right side
    475,076.97x = 168,674,832,017.45
  5. Step 5: Solve for x
    x = 168,674,832,017.45/475,076.97
  6. Step 6: Final answer
    x = 355,047.38

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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.