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Finding the Fourth Proportional to 462,613.46, 638,582.75 and 301,507.70

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Solution

The fourth proportional to 462,613.46, 638,582.75 and 301,507.70 is: 416,195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,613.46 : 638,582.75 = 301,507.70 : x
  2. Step 2: Convert to fraction form
    462,613.46/638,582.75 = 301,507.70/x
  3. Step 3: Cross multiply
    462,613.46x = 638,582.75 × 301,507.70
  4. Step 4: Simplify right side
    462,613.46x = 192,537,611,511.72
  5. Step 5: Solve for x
    x = 192,537,611,511.72/462,613.46
  6. Step 6: Final answer
    x = 416,195.44

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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.