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Finding the Fourth Proportional to 1,651,409, 2,477,529.82 and 469,457

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Solution

The fourth proportional to 1,651,409, 2,477,529.82 and 469,457 is: 704,303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651,409 : 2,477,529.82 = 469,457 : x
  2. Step 2: Convert to fraction form
    1,651,409/2,477,529.82 = 469,457/x
  3. Step 3: Cross multiply
    1,651,409x = 2,477,529.82 × 469,457
  4. Step 4: Simplify right side
    1,651,409x = 1,163,093,716,707.74
  5. Step 5: Solve for x
    x = 1,163,093,716,707.74/1,651,409
  6. Step 6: Final answer
    x = 704,303.85

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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.