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Finding the Fourth Proportional to 296,599.68, 409,303.68 and 162,464.64

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Solution

The fourth proportional to 296,599.68, 409,303.68 and 162,464.64 is: 224,199.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,599.68 : 409,303.68 = 162,464.64 : x
  2. Step 2: Convert to fraction form
    296,599.68/409,303.68 = 162,464.64/x
  3. Step 3: Cross multiply
    296,599.68x = 409,303.68 × 162,464.64
  4. Step 4: Simplify right side
    296,599.68x = 66,497,375,021.88
  5. Step 5: Solve for x
    x = 66,497,375,021.88/296,599.68
  6. Step 6: Final answer
    x = 224,199.08

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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.