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Finding the Fourth Proportional to 650,108.40, 973,261.80 and 463,484.40

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Solution

The fourth proportional to 650,108.40, 973,261.80 and 463,484.40 is: 693,871.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,108.40 : 973,261.80 = 463,484.40 : x
  2. Step 2: Convert to fraction form
    650,108.40/973,261.80 = 463,484.40/x
  3. Step 3: Cross multiply
    650,108.40x = 973,261.80 × 463,484.40
  4. Step 4: Simplify right side
    650,108.40x = 451,091,661,415.92
  5. Step 5: Solve for x
    x = 451,091,661,415.92/650,108.40
  6. Step 6: Final answer
    x = 693,871.46

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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.