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Finding the Fourth Proportional to 276,841.40, 415,722.90 and 152,271.80

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Solution

The fourth proportional to 276,841.40, 415,722.90 and 152,271.80 is: 228,661.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,841.40 : 415,722.90 = 152,271.80 : x
  2. Step 2: Convert to fraction form
    276,841.40/415,722.90 = 152,271.80/x
  3. Step 3: Cross multiply
    276,841.40x = 415,722.90 × 152,271.80
  4. Step 4: Simplify right side
    276,841.40x = 63,302,874,284.22
  5. Step 5: Solve for x
    x = 63,302,874,284.22/276,841.40
  6. Step 6: Final answer
    x = 228,661.16

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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.