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Finding the Fourth Proportional to 255,736.40, 383,750.40 and 176,907.20

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Solution

The fourth proportional to 255,736.40, 383,750.40 and 176,907.20 is: 265,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,736.40 : 383,750.40 = 176,907.20 : x
  2. Step 2: Convert to fraction form
    255,736.40/383,750.40 = 176,907.20/x
  3. Step 3: Cross multiply
    255,736.40x = 383,750.40 × 176,907.20
  4. Step 4: Simplify right side
    255,736.40x = 67,888,208,762.88
  5. Step 5: Solve for x
    x = 67,888,208,762.88/255,736.40
  6. Step 6: Final answer
    x = 265,461.66

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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.