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Finding the Fourth Proportional to 314,369.27, 433,829.64 and 171,130.39

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Solution

The fourth proportional to 314,369.27, 433,829.64 and 171,130.39 is: 236,159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,369.27 : 433,829.64 = 171,130.39 : x
  2. Step 2: Convert to fraction form
    314,369.27/433,829.64 = 171,130.39/x
  3. Step 3: Cross multiply
    314,369.27x = 433,829.64 × 171,130.39
  4. Step 4: Simplify right side
    314,369.27x = 74,241,435,486.76
  5. Step 5: Solve for x
    x = 74,241,435,486.76/314,369.27
  6. Step 6: Final answer
    x = 236,159.96

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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.