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Finding the Fourth Proportional to 382,758.84, 574,196.58 and 195,707.16

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Solution

The fourth proportional to 382,758.84, 574,196.58 and 195,707.16 is: 293,590.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,758.84 : 574,196.58 = 195,707.16 : x
  2. Step 2: Convert to fraction form
    382,758.84/574,196.58 = 195,707.16/x
  3. Step 3: Cross multiply
    382,758.84x = 574,196.58 × 195,707.16
  4. Step 4: Simplify right side
    382,758.84x = 112,374,381,953.51
  5. Step 5: Solve for x
    x = 112,374,381,953.51/382,758.84
  6. Step 6: Final answer
    x = 293,590.56

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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.