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Finding the Fourth Proportional to 385,923.84, 578,695.68 and 183,463.68

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Solution

The fourth proportional to 385,923.84, 578,695.68 and 183,463.68 is: 275,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,923.84 : 578,695.68 = 183,463.68 : x
  2. Step 2: Convert to fraction form
    385,923.84/578,695.68 = 183,463.68/x
  3. Step 3: Cross multiply
    385,923.84x = 578,695.68 × 183,463.68
  4. Step 4: Simplify right side
    385,923.84x = 106,169,639,052.90
  5. Step 5: Solve for x
    x = 106,169,639,052.90/385,923.84
  6. Step 6: Final answer
    x = 275,105.16

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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.