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Finding the Fourth Proportional to 434,681.40, 652,022.10 and 397,356.60

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Solution

The fourth proportional to 434,681.40, 652,022.10 and 397,356.60 is: 596,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,681.40 : 652,022.10 = 397,356.60 : x
  2. Step 2: Convert to fraction form
    434,681.40/652,022.10 = 397,356.60/x
  3. Step 3: Cross multiply
    434,681.40x = 652,022.10 × 397,356.60
  4. Step 4: Simplify right side
    434,681.40x = 259,085,284,780.86
  5. Step 5: Solve for x
    x = 259,085,284,780.86/434,681.40
  6. Step 6: Final answer
    x = 596,034.90

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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.