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Finding the Fourth Proportional to 255,746.40, 383,765.40 and 176,917.20

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Solution

The fourth proportional to 255,746.40, 383,765.40 and 176,917.20 is: 265,476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,746.40 : 383,765.40 = 176,917.20 : x
  2. Step 2: Convert to fraction form
    255,746.40/383,765.40 = 176,917.20/x
  3. Step 3: Cross multiply
    255,746.40x = 383,765.40 × 176,917.20
  4. Step 4: Simplify right side
    255,746.40x = 67,894,700,024.88
  5. Step 5: Solve for x
    x = 67,894,700,024.88/255,746.40
  6. Step 6: Final answer
    x = 265,476.66

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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.