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Finding the Fourth Proportional to 477,075.23, 658,355.36 and 262,215.24

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Solution

The fourth proportional to 477,075.23, 658,355.36 and 262,215.24 is: 361,852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,075.23 : 658,355.36 = 262,215.24 : x
  2. Step 2: Convert to fraction form
    477,075.23/658,355.36 = 262,215.24/x
  3. Step 3: Cross multiply
    477,075.23x = 658,355.36 × 262,215.24
  4. Step 4: Simplify right side
    477,075.23x = 172,630,808,727.69
  5. Step 5: Solve for x
    x = 172,630,808,727.69/477,075.23
  6. Step 6: Final answer
    x = 361,852.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.