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Finding the Fourth Proportional to 314,369.32, 433,830.66 and 171,130.60

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Solution

The fourth proportional to 314,369.32, 433,830.66 and 171,130.60 is: 236,160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,369.32 : 433,830.66 = 171,130.60 : x
  2. Step 2: Convert to fraction form
    314,369.32/433,830.66 = 171,130.60/x
  3. Step 3: Cross multiply
    314,369.32x = 433,830.66 × 171,130.60
  4. Step 4: Simplify right side
    314,369.32x = 74,241,701,144.20
  5. Step 5: Solve for x
    x = 74,241,701,144.20/314,369.32
  6. Step 6: Final answer
    x = 236,160.77

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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.