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Finding the Fourth Proportional to 264,257.84, 364,556.76 and 156,832.40

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Solution

The fourth proportional to 264,257.84, 364,556.76 and 156,832.40 is: 216,358.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,257.84 : 364,556.76 = 156,832.40 : x
  2. Step 2: Convert to fraction form
    264,257.84/364,556.76 = 156,832.40/x
  3. Step 3: Cross multiply
    264,257.84x = 364,556.76 × 156,832.40
  4. Step 4: Simplify right side
    264,257.84x = 57,174,311,607.02
  5. Step 5: Solve for x
    x = 57,174,311,607.02/264,257.84
  6. Step 6: Final answer
    x = 216,358.05

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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.