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Finding the Fourth Proportional to 290,423.40, 435,635.10 and 172,033.80

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Solution

The fourth proportional to 290,423.40, 435,635.10 and 172,033.80 is: 258,050.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,423.40 : 435,635.10 = 172,033.80 : x
  2. Step 2: Convert to fraction form
    290,423.40/435,635.10 = 172,033.80/x
  3. Step 3: Cross multiply
    290,423.40x = 435,635.10 × 172,033.80
  4. Step 4: Simplify right side
    290,423.40x = 74,943,961,666.38
  5. Step 5: Solve for x
    x = 74,943,961,666.38/290,423.40
  6. Step 6: Final answer
    x = 258,050.70

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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.