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Finding the Fourth Proportional to 423,814.12, 585,381.54 and 316,859.56

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Solution

The fourth proportional to 423,814.12, 585,381.54 and 316,859.56 is: 437,653.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,814.12 : 585,381.54 = 316,859.56 : x
  2. Step 2: Convert to fraction form
    423,814.12/585,381.54 = 316,859.56/x
  3. Step 3: Cross multiply
    423,814.12x = 585,381.54 × 316,859.56
  4. Step 4: Simplify right side
    423,814.12x = 185,483,737,196.52
  5. Step 5: Solve for x
    x = 185,483,737,196.52/423,814.12
  6. Step 6: Final answer
    x = 437,653.51

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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.