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Finding the Fourth Proportional to 264,242.16, 364,767.84 and 162,284.22

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Solution

The fourth proportional to 264,242.16, 364,767.84 and 162,284.22 is: 224,022.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,242.16 : 364,767.84 = 162,284.22 : x
  2. Step 2: Convert to fraction form
    264,242.16/364,767.84 = 162,284.22/x
  3. Step 3: Cross multiply
    264,242.16x = 364,767.84 × 162,284.22
  4. Step 4: Simplify right side
    264,242.16x = 59,196,064,395.48
  5. Step 5: Solve for x
    x = 59,196,064,395.48/264,242.16
  6. Step 6: Final answer
    x = 224,022.03

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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.