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Finding the Fourth Proportional to 277,210.20, 416,009.70 and 177,612.60

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Solution

The fourth proportional to 277,210.20, 416,009.70 and 177,612.60 is: 266,543.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,210.20 : 416,009.70 = 177,612.60 : x
  2. Step 2: Convert to fraction form
    277,210.20/416,009.70 = 177,612.60/x
  3. Step 3: Cross multiply
    277,210.20x = 416,009.70 × 177,612.60
  4. Step 4: Simplify right side
    277,210.20x = 73,888,564,442.22
  5. Step 5: Solve for x
    x = 73,888,564,442.22/277,210.20
  6. Step 6: Final answer
    x = 266,543.45

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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.