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Finding the Fourth Proportional to 273,312.80, 410,276.40 and 211,258.40

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Solution

The fourth proportional to 273,312.80, 410,276.40 and 211,258.40 is: 317,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,312.80 : 410,276.40 = 211,258.40 : x
  2. Step 2: Convert to fraction form
    273,312.80/410,276.40 = 211,258.40/x
  3. Step 3: Cross multiply
    273,312.80x = 410,276.40 × 211,258.40
  4. Step 4: Simplify right side
    273,312.80x = 86,674,335,821.76
  5. Step 5: Solve for x
    x = 86,674,335,821.76/273,312.80
  6. Step 6: Final answer
    x = 317,125.05

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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.