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Finding the Fourth Proportional to 314,211.39, 433,616.90 and 170,972.16

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Solution

The fourth proportional to 314,211.39, 433,616.90 and 170,972.16 is: 235,944.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,211.39 : 433,616.90 = 170,972.16 : x
  2. Step 2: Convert to fraction form
    314,211.39/433,616.90 = 170,972.16/x
  3. Step 3: Cross multiply
    314,211.39x = 433,616.90 × 170,972.16
  4. Step 4: Simplify right side
    314,211.39x = 74,136,418,005.50
  5. Step 5: Solve for x
    x = 74,136,418,005.50/314,211.39
  6. Step 6: Final answer
    x = 235,944.40

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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.