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Finding the Fourth Proportional to 277,740.40, 416,610.60 and 144,880.16

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Solution

The fourth proportional to 277,740.40, 416,610.60 and 144,880.16 is: 217,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,740.40 : 416,610.60 = 144,880.16 : x
  2. Step 2: Convert to fraction form
    277,740.40/416,610.60 = 144,880.16/x
  3. Step 3: Cross multiply
    277,740.40x = 416,610.60 × 144,880.16
  4. Step 4: Simplify right side
    277,740.40x = 60,358,610,385.70
  5. Step 5: Solve for x
    x = 60,358,610,385.70/277,740.40
  6. Step 6: Final answer
    x = 217,320.24

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1.5x scale

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.