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Finding the Fourth Proportional to 314,435.16, 433,823.22 and 191,953.80

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Solution

The fourth proportional to 314,435.16, 433,823.22 and 191,953.80 is: 264,836.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,435.16 : 433,823.22 = 191,953.80 : x
  2. Step 2: Convert to fraction form
    314,435.16/433,823.22 = 191,953.80/x
  3. Step 3: Cross multiply
    314,435.16x = 433,823.22 × 191,953.80
  4. Step 4: Simplify right side
    314,435.16x = 83,274,015,607.24
  5. Step 5: Solve for x
    x = 83,274,015,607.24/314,435.16
  6. Step 6: Final answer
    x = 264,836.84

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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.