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Finding the Fourth Proportional to 333,658.86, 460,318.59 and 212,767.98

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Solution

The fourth proportional to 333,658.86, 460,318.59 and 212,767.98 is: 293,536.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,658.86 : 460,318.59 = 212,767.98 : x
  2. Step 2: Convert to fraction form
    333,658.86/460,318.59 = 212,767.98/x
  3. Step 3: Cross multiply
    333,658.86x = 460,318.59 × 212,767.98
  4. Step 4: Simplify right side
    333,658.86x = 97,941,056,550.75
  5. Step 5: Solve for x
    x = 97,941,056,550.75/333,658.86
  6. Step 6: Final answer
    x = 293,536.51

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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.