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Finding the Fourth Proportional to 276,088.84, 413,870.84 and 175,968

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Solution

The fourth proportional to 276,088.84, 413,870.84 and 175,968 is: 263,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,088.84 : 413,870.84 = 175,968 : x
  2. Step 2: Convert to fraction form
    276,088.84/413,870.84 = 175,968/x
  3. Step 3: Cross multiply
    276,088.84x = 413,870.84 × 175,968
  4. Step 4: Simplify right side
    276,088.84x = 72,828,023,973.12
  5. Step 5: Solve for x
    x = 72,828,023,973.12/276,088.84
  6. Step 6: Final answer
    x = 263,784.74

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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.