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Finding the Fourth Proportional to 657,749.76, 907,694.64 and 355,943.76

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Solution

The fourth proportional to 657,749.76, 907,694.64 and 355,943.76 is: 491,202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,749.76 : 907,694.64 = 355,943.76 : x
  2. Step 2: Convert to fraction form
    657,749.76/907,694.64 = 355,943.76/x
  3. Step 3: Cross multiply
    657,749.76x = 907,694.64 × 355,943.76
  4. Step 4: Simplify right side
    657,749.76x = 323,088,243,093.45
  5. Step 5: Solve for x
    x = 323,088,243,093.45/657,749.76
  6. Step 6: Final answer
    x = 491,202.37

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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.