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Finding the Fourth Proportional to 255,280.40, 383,066.40 and 176,451.20

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Solution

The fourth proportional to 255,280.40, 383,066.40 and 176,451.20 is: 264,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,280.40 : 383,066.40 = 176,451.20 : x
  2. Step 2: Convert to fraction form
    255,280.40/383,066.40 = 176,451.20/x
  3. Step 3: Cross multiply
    255,280.40x = 383,066.40 × 176,451.20
  4. Step 4: Simplify right side
    255,280.40x = 67,592,525,959.68
  5. Step 5: Solve for x
    x = 67,592,525,959.68/255,280.40
  6. Step 6: Final answer
    x = 264,777.58

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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.