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Finding the Fourth Proportional to 314,181, 433,566.42 and 186,853.80

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Solution

The fourth proportional to 314,181, 433,566.42 and 186,853.80 is: 257,856.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,181 : 433,566.42 = 186,853.80 : x
  2. Step 2: Convert to fraction form
    314,181/433,566.42 = 186,853.80/x
  3. Step 3: Cross multiply
    314,181x = 433,566.42 × 186,853.80
  4. Step 4: Simplify right side
    314,181x = 81,013,533,129.40
  5. Step 5: Solve for x
    x = 81,013,533,129.40/314,181
  6. Step 6: Final answer
    x = 257,856.25

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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.