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Finding the Fourth Proportional to 264,467.20, 364,964.32 and 145,235.20

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Solution

The fourth proportional to 264,467.20, 364,964.32 and 145,235.20 is: 200,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,467.20 : 364,964.32 = 145,235.20 : x
  2. Step 2: Convert to fraction form
    264,467.20/364,964.32 = 145,235.20/x
  3. Step 3: Cross multiply
    264,467.20x = 364,964.32 × 145,235.20
  4. Step 4: Simplify right side
    264,467.20x = 53,005,666,008.06
  5. Step 5: Solve for x
    x = 53,005,666,008.06/264,467.20
  6. Step 6: Final answer
    x = 200,424.35

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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.