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Finding the Fourth Proportional to 297,724.80, 446,587.20 and 264,547.20

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Solution

The fourth proportional to 297,724.80, 446,587.20 and 264,547.20 is: 396,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,724.80 : 446,587.20 = 264,547.20 : x
  2. Step 2: Convert to fraction form
    297,724.80/446,587.20 = 264,547.20/x
  3. Step 3: Cross multiply
    297,724.80x = 446,587.20 × 264,547.20
  4. Step 4: Simplify right side
    297,724.80x = 118,143,393,315.84
  5. Step 5: Solve for x
    x = 118,143,393,315.84/297,724.80
  6. Step 6: Final answer
    x = 396,820.80

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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.