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Finding the Fourth Proportional to 353,643.84, 488,034.72 and 192,503.52

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Solution

The fourth proportional to 353,643.84, 488,034.72 and 192,503.52 is: 265,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,643.84 : 488,034.72 = 192,503.52 : x
  2. Step 2: Convert to fraction form
    353,643.84/488,034.72 = 192,503.52/x
  3. Step 3: Cross multiply
    353,643.84x = 488,034.72 × 192,503.52
  4. Step 4: Simplify right side
    353,643.84x = 93,948,401,482.21
  5. Step 5: Solve for x
    x = 93,948,401,482.21/353,643.84
  6. Step 6: Final answer
    x = 265,658.24

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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.