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Finding the Fourth Proportional to 1,095,984, 1,643,976 and 308,016

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Solution

The fourth proportional to 1,095,984, 1,643,976 and 308,016 is: 462,024

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095,984 : 1,643,976 = 308,016 : x
  2. Step 2: Convert to fraction form
    1,095,984/1,643,976 = 308,016/x
  3. Step 3: Cross multiply
    1,095,984x = 1,643,976 × 308,016
  4. Step 4: Simplify right side
    1,095,984x = 506,370,911,616
  5. Step 5: Solve for x
    x = 506,370,911,616/1,095,984
  6. Step 6: Final answer
    x = 462,024

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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.