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Finding the Fourth Proportional to 273,284.84, 409,795.88 and 154,924.40

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Solution

The fourth proportional to 273,284.84, 409,795.88 and 154,924.40 is: 232,312.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,284.84 : 409,795.88 = 154,924.40 : x
  2. Step 2: Convert to fraction form
    273,284.84/409,795.88 = 154,924.40/x
  3. Step 3: Cross multiply
    273,284.84x = 409,795.88 × 154,924.40
  4. Step 4: Simplify right side
    273,284.84x = 63,487,380,831.47
  5. Step 5: Solve for x
    x = 63,487,380,831.47/273,284.84
  6. Step 6: Final answer
    x = 232,312.12

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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.