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Finding the Fourth Proportional to 289,041.10, 433,302.45 and 257,548.30

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Solution

The fourth proportional to 289,041.10, 433,302.45 and 257,548.30 is: 386,091.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,041.10 : 433,302.45 = 257,548.30 : x
  2. Step 2: Convert to fraction form
    289,041.10/433,302.45 = 257,548.30/x
  3. Step 3: Cross multiply
    289,041.10x = 433,302.45 × 257,548.30
  4. Step 4: Simplify right side
    289,041.10x = 111,596,309,383.34
  5. Step 5: Solve for x
    x = 111,596,309,383.34/289,041.10
  6. Step 6: Final answer
    x = 386,091.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.