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Finding the Fourth Proportional to 1,148,500, 1,723,538.94 and 400,546

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Solution

The fourth proportional to 1,148,500, 1,723,538.94 and 400,546 is: 601,094.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148,500 : 1,723,538.94 = 400,546 : x
  2. Step 2: Convert to fraction form
    1,148,500/1,723,538.94 = 400,546/x
  3. Step 3: Cross multiply
    1,148,500x = 1,723,538.94 × 400,546
  4. Step 4: Simplify right side
    1,148,500x = 690,356,628,261.24
  5. Step 5: Solve for x
    x = 690,356,628,261.24/1,148,500
  6. Step 6: Final answer
    x = 601,094.15

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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.