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Finding the Fourth Proportional to 611,340.10, 917,994.30 and 461,749.30

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Solution

The fourth proportional to 611,340.10, 917,994.30 and 461,749.30 is: 693,367.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,340.10 : 917,994.30 = 461,749.30 : x
  2. Step 2: Convert to fraction form
    611,340.10/917,994.30 = 461,749.30/x
  3. Step 3: Cross multiply
    611,340.10x = 917,994.30 × 461,749.30
  4. Step 4: Simplify right side
    611,340.10x = 423,883,225,428.99
  5. Step 5: Solve for x
    x = 423,883,225,428.99/611,340.10
  6. Step 6: Final answer
    x = 693,367.29

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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.