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Finding the Fourth Proportional to 461,613.74, 637,133.24 and 270,688.64

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Solution

The fourth proportional to 461,613.74, 637,133.24 and 270,688.64 is: 373,612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,613.74 : 637,133.24 = 270,688.64 : x
  2. Step 2: Convert to fraction form
    461,613.74/637,133.24 = 270,688.64/x
  3. Step 3: Cross multiply
    461,613.74x = 637,133.24 × 270,688.64
  4. Step 4: Simplify right side
    461,613.74x = 172,464,727,725.45
  5. Step 5: Solve for x
    x = 172,464,727,725.45/461,613.74
  6. Step 6: Final answer
    x = 373,612.64

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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.