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Finding the Fourth Proportional to 353,114.82, 487,307.88 and 191,980.74

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Solution

The fourth proportional to 353,114.82, 487,307.88 and 191,980.74 is: 264,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,114.82 : 487,307.88 = 191,980.74 : x
  2. Step 2: Convert to fraction form
    353,114.82/487,307.88 = 191,980.74/x
  3. Step 3: Cross multiply
    353,114.82x = 487,307.88 × 191,980.74
  4. Step 4: Simplify right side
    353,114.82x = 93,553,727,410.23
  5. Step 5: Solve for x
    x = 93,553,727,410.23/353,114.82
  6. Step 6: Final answer
    x = 264,938.55

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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.