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Finding the Fourth Proportional to 365,528, 504,486.96 and 214,595.84

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Solution

The fourth proportional to 365,528, 504,486.96 and 214,595.84 is: 296,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,528 : 504,486.96 = 214,595.84 : x
  2. Step 2: Convert to fraction form
    365,528/504,486.96 = 214,595.84/x
  3. Step 3: Cross multiply
    365,528x = 504,486.96 × 214,595.84
  4. Step 4: Simplify right side
    365,528x = 108,260,802,950.25
  5. Step 5: Solve for x
    x = 108,260,802,950.25/365,528
  6. Step 6: Final answer
    x = 296,176.50

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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.