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Finding the Fourth Proportional to 561,236, 774,760.64 and 357,566.24

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Solution

The fourth proportional to 561,236, 774,760.64 and 357,566.24 is: 493,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,236 : 774,760.64 = 357,566.24 : x
  2. Step 2: Convert to fraction form
    561,236/774,760.64 = 357,566.24/x
  3. Step 3: Cross multiply
    561,236x = 774,760.64 × 357,566.24
  4. Step 4: Simplify right side
    561,236x = 277,028,248,944.79
  5. Step 5: Solve for x
    x = 277,028,248,944.79/561,236
  6. Step 6: Final answer
    x = 493,603.85

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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.