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Finding the Fourth Proportional to 457,034.40, 683,996.40 and 401,047.20

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Solution

The fourth proportional to 457,034.40, 683,996.40 and 401,047.20 is: 600,206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,034.40 : 683,996.40 = 401,047.20 : x
  2. Step 2: Convert to fraction form
    457,034.40/683,996.40 = 401,047.20/x
  3. Step 3: Cross multiply
    457,034.40x = 683,996.40 × 401,047.20
  4. Step 4: Simplify right side
    457,034.40x = 274,314,841,030.08
  5. Step 5: Solve for x
    x = 274,314,841,030.08/457,034.40
  6. Step 6: Final answer
    x = 600,206.11

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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.