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Finding the Fourth Proportional to 314,909.17, 434,530.83 and 185,853.03

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Solution

The fourth proportional to 314,909.17, 434,530.83 and 185,853.03 is: 256,451.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,909.17 : 434,530.83 = 185,853.03 : x
  2. Step 2: Convert to fraction form
    314,909.17/434,530.83 = 185,853.03/x
  3. Step 3: Cross multiply
    314,909.17x = 434,530.83 × 185,853.03
  4. Step 4: Simplify right side
    314,909.17x = 80,758,871,850.19
  5. Step 5: Solve for x
    x = 80,758,871,850.19/314,909.17
  6. Step 6: Final answer
    x = 256,451.32

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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.