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Finding the Fourth Proportional to 280,153.74, 386,611.64 and 152,829.30

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Solution

The fourth proportional to 280,153.74, 386,611.64 and 152,829.30 is: 210,904.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,153.74 : 386,611.64 = 152,829.30 : x
  2. Step 2: Convert to fraction form
    280,153.74/386,611.64 = 152,829.30/x
  3. Step 3: Cross multiply
    280,153.74x = 386,611.64 × 152,829.30
  4. Step 4: Simplify right side
    280,153.74x = 59,085,586,313.05
  5. Step 5: Solve for x
    x = 59,085,586,313.05/280,153.74
  6. Step 6: Final answer
    x = 210,904.15

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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.