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Finding the Fourth Proportional to 1,461,040, 2,191,560.80 and 463,768

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Solution

The fourth proportional to 1,461,040, 2,191,560.80 and 463,768 is: 695,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,040 : 2,191,560.80 = 463,768 : x
  2. Step 2: Convert to fraction form
    1,461,040/2,191,560.80 = 463,768/x
  3. Step 3: Cross multiply
    1,461,040x = 2,191,560.80 × 463,768
  4. Step 4: Simplify right side
    1,461,040x = 1,016,375,769,094.40
  5. Step 5: Solve for x
    x = 1,016,375,769,094.40/1,461,040
  6. Step 6: Final answer
    x = 695,652.25

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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.