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Finding the Fourth Proportional to 1,005,094.30, 1,410,864.50 and 1,005,094.30

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Solution

The fourth proportional to 1,005,094.30, 1,410,864.50 and 1,005,094.30 is: 1,410,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,094.30 : 1,410,864.50 = 1,005,094.30 : x
  2. Step 2: Convert to fraction form
    1,005,094.30/1,410,864.50 = 1,005,094.30/x
  3. Step 3: Cross multiply
    1,005,094.30x = 1,410,864.50 × 1,005,094.30
  4. Step 4: Simplify right side
    1,005,094.30x = 1,418,051,867,022.35
  5. Step 5: Solve for x
    x = 1,418,051,867,022.35/1,005,094.30
  6. Step 6: Final answer
    x = 1,410,864.50

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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.