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Finding the Fourth Proportional to 314,327.10, 433,780.80 and 193,538.08

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Solution

The fourth proportional to 314,327.10, 433,780.80 and 193,538.08 is: 267,088.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,327.10 : 433,780.80 = 193,538.08 : x
  2. Step 2: Convert to fraction form
    314,327.10/433,780.80 = 193,538.08/x
  3. Step 3: Cross multiply
    314,327.10x = 433,780.80 × 193,538.08
  4. Step 4: Simplify right side
    314,327.10x = 83,953,103,172.86
  5. Step 5: Solve for x
    x = 83,953,103,172.86/314,327.10
  6. Step 6: Final answer
    x = 267,088.34

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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.