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Finding the Fourth Proportional to 353,516, 487,852.16 and 194,540

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Solution

The fourth proportional to 353,516, 487,852.16 and 194,540 is: 268,465.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,516 : 487,852.16 = 194,540 : x
  2. Step 2: Convert to fraction form
    353,516/487,852.16 = 194,540/x
  3. Step 3: Cross multiply
    353,516x = 487,852.16 × 194,540
  4. Step 4: Simplify right side
    353,516x = 94,906,759,206.40
  5. Step 5: Solve for x
    x = 94,906,759,206.40/353,516
  6. Step 6: Final answer
    x = 268,465.24

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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.