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Finding the Fourth Proportional to 266,430.20, 400,082.70 and 178,075.40

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Solution

The fourth proportional to 266,430.20, 400,082.70 and 178,075.40 is: 267,405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,430.20 : 400,082.70 = 178,075.40 : x
  2. Step 2: Convert to fraction form
    266,430.20/400,082.70 = 178,075.40/x
  3. Step 3: Cross multiply
    266,430.20x = 400,082.70 × 178,075.40
  4. Step 4: Simplify right side
    266,430.20x = 71,244,886,835.58
  5. Step 5: Solve for x
    x = 71,244,886,835.58/266,430.20
  6. Step 6: Final answer
    x = 267,405.45

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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.