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Finding the Fourth Proportional to 1,026,008.40, 1,439,954.70 and 1,026,008.40

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Solution

The fourth proportional to 1,026,008.40, 1,439,954.70 and 1,026,008.40 is: 1,439,954.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,008.40 : 1,439,954.70 = 1,026,008.40 : x
  2. Step 2: Convert to fraction form
    1,026,008.40/1,439,954.70 = 1,026,008.40/x
  3. Step 3: Cross multiply
    1,026,008.40x = 1,439,954.70 × 1,026,008.40
  4. Step 4: Simplify right side
    1,026,008.40x = 1,477,405,617,819.48
  5. Step 5: Solve for x
    x = 1,477,405,617,819.48/1,026,008.40
  6. Step 6: Final answer
    x = 1,439,954.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.