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Finding the Fourth Proportional to 280,346.40, 386,878.05 and 153,022.01

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Solution

The fourth proportional to 280,346.40, 386,878.05 and 153,022.01 is: 211,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,346.40 : 386,878.05 = 153,022.01 : x
  2. Step 2: Convert to fraction form
    280,346.40/386,878.05 = 153,022.01/x
  3. Step 3: Cross multiply
    280,346.40x = 386,878.05 × 153,022.01
  4. Step 4: Simplify right side
    280,346.40x = 59,200,854,901.49
  5. Step 5: Solve for x
    x = 59,200,854,901.49/280,346.40
  6. Step 6: Final answer
    x = 211,170.38

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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.