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Finding the Fourth Proportional to 313,702.70, 432,874.58 and 177,707.52

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Solution

The fourth proportional to 313,702.70, 432,874.58 and 177,707.52 is: 245,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,702.70 : 432,874.58 = 177,707.52 : x
  2. Step 2: Convert to fraction form
    313,702.70/432,874.58 = 177,707.52/x
  3. Step 3: Cross multiply
    313,702.70x = 432,874.58 × 177,707.52
  4. Step 4: Simplify right side
    313,702.70x = 76,925,066,237.43
  5. Step 5: Solve for x
    x = 76,925,066,237.43/313,702.70
  6. Step 6: Final answer
    x = 245,216.47

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1.5x scale

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.