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Finding the Fourth Proportional to 470,775.42, 706,496.58 and 204,613.74

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Solution

The fourth proportional to 470,775.42, 706,496.58 and 204,613.74 is: 307,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,775.42 : 706,496.58 = 204,613.74 : x
  2. Step 2: Convert to fraction form
    470,775.42/706,496.58 = 204,613.74/x
  3. Step 3: Cross multiply
    470,775.42x = 706,496.58 × 204,613.74
  4. Step 4: Simplify right side
    470,775.42x = 144,558,907,531.01
  5. Step 5: Solve for x
    x = 144,558,907,531.01/470,775.42
  6. Step 6: Final answer
    x = 307,065.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.