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Finding the Fourth Proportional to 477,964.80, 717,530.40 and 264,902.40

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Solution

The fourth proportional to 477,964.80, 717,530.40 and 264,902.40 is: 397,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,964.80 : 717,530.40 = 264,902.40 : x
  2. Step 2: Convert to fraction form
    477,964.80/717,530.40 = 264,902.40/x
  3. Step 3: Cross multiply
    477,964.80x = 717,530.40 × 264,902.40
  4. Step 4: Simplify right side
    477,964.80x = 190,075,525,032.96
  5. Step 5: Solve for x
    x = 190,075,525,032.96/477,964.80
  6. Step 6: Final answer
    x = 397,676.83

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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.