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Finding the Fourth Proportional to 314,484.16, 433,981.92 and 171,245.92

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Solution

The fourth proportional to 314,484.16, 433,981.92 and 171,245.92 is: 236,315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,484.16 : 433,981.92 = 171,245.92 : x
  2. Step 2: Convert to fraction form
    314,484.16/433,981.92 = 171,245.92/x
  3. Step 3: Cross multiply
    314,484.16x = 433,981.92 × 171,245.92
  4. Step 4: Simplify right side
    314,484.16x = 74,317,633,153.77
  5. Step 5: Solve for x
    x = 74,317,633,153.77/314,484.16
  6. Step 6: Final answer
    x = 236,315.98

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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.