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Finding the Fourth Proportional to 286,411.32, 426,738.87 and 270,315

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Solution

The fourth proportional to 286,411.32, 426,738.87 and 270,315 is: 402,756.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,411.32 : 426,738.87 = 270,315 : x
  2. Step 2: Convert to fraction form
    286,411.32/426,738.87 = 270,315/x
  3. Step 3: Cross multiply
    286,411.32x = 426,738.87 × 270,315
  4. Step 4: Simplify right side
    286,411.32x = 115,353,917,644.05
  5. Step 5: Solve for x
    x = 115,353,917,644.05/286,411.32
  6. Step 6: Final answer
    x = 402,756.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.