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Finding the Fourth Proportional to 1,651,362, 2,477,459.16 and 469,410

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Solution

The fourth proportional to 1,651,362, 2,477,459.16 and 469,410 is: 704,233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651,362 : 2,477,459.16 = 469,410 : x
  2. Step 2: Convert to fraction form
    1,651,362/2,477,459.16 = 469,410/x
  3. Step 3: Cross multiply
    1,651,362x = 2,477,459.16 × 469,410
  4. Step 4: Simplify right side
    1,651,362x = 1,162,944,104,295.60
  5. Step 5: Solve for x
    x = 1,162,944,104,295.60/1,651,362
  6. Step 6: Final answer
    x = 704,233.30

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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.