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Finding the Fourth Proportional to 401,166.84, 598,214.58 and 397,569.24

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Solution

The fourth proportional to 401,166.84, 598,214.58 and 397,569.24 is: 592,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,166.84 : 598,214.58 = 397,569.24 : x
  2. Step 2: Convert to fraction form
    401,166.84/598,214.58 = 397,569.24/x
  3. Step 3: Cross multiply
    401,166.84x = 598,214.58 × 397,569.24
  4. Step 4: Simplify right side
    401,166.84x = 237,831,715,927.52
  5. Step 5: Solve for x
    x = 237,831,715,927.52/401,166.84
  6. Step 6: Final answer
    x = 592,849.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.