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Finding the Fourth Proportional to 277,678.51, 416,533.91 and 78,014.46

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Solution

The fourth proportional to 277,678.51, 416,533.91 and 78,014.46 is: 117,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,678.51 : 416,533.91 = 78,014.46 : x
  2. Step 2: Convert to fraction form
    277,678.51/416,533.91 = 78,014.46/x
  3. Step 3: Cross multiply
    277,678.51x = 416,533.91 × 78,014.46
  4. Step 4: Simplify right side
    277,678.51x = 32,495,668,060.34
  5. Step 5: Solve for x
    x = 32,495,668,060.34/277,678.51
  6. Step 6: Final answer
    x = 117,026.23

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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.