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Finding the Fourth Proportional to 280,153.66, 386,611.24 and 152,828.34

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Solution

The fourth proportional to 280,153.66, 386,611.24 and 152,828.34 is: 210,902.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,153.66 : 386,611.24 = 152,828.34 : x
  2. Step 2: Convert to fraction form
    280,153.66/386,611.24 = 152,828.34/x
  3. Step 3: Cross multiply
    280,153.66x = 386,611.24 × 152,828.34
  4. Step 4: Simplify right side
    280,153.66x = 59,085,154,034.54
  5. Step 5: Solve for x
    x = 59,085,154,034.54/280,153.66
  6. Step 6: Final answer
    x = 210,902.67

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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.