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Finding the Fourth Proportional to 357,463.33, 536,113.28 and 213,409.89

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Solution

The fourth proportional to 357,463.33, 536,113.28 and 213,409.89 is: 320,066.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,463.33 : 536,113.28 = 213,409.89 : x
  2. Step 2: Convert to fraction form
    357,463.33/536,113.28 = 213,409.89/x
  3. Step 3: Cross multiply
    357,463.33x = 536,113.28 × 213,409.89
  4. Step 4: Simplify right side
    357,463.33x = 114,411,876,645.86
  5. Step 5: Solve for x
    x = 114,411,876,645.86/357,463.33
  6. Step 6: Final answer
    x = 320,066.05

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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.