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Finding the Fourth Proportional to 416,013.84, 623,455.28 and 175,928.16

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Solution

The fourth proportional to 416,013.84, 623,455.28 and 175,928.16 is: 263,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,013.84 : 623,455.28 = 175,928.16 : x
  2. Step 2: Convert to fraction form
    416,013.84/623,455.28 = 175,928.16/x
  3. Step 3: Cross multiply
    416,013.84x = 623,455.28 × 175,928.16
  4. Step 4: Simplify right side
    416,013.84x = 109,683,340,252.69
  5. Step 5: Solve for x
    x = 109,683,340,252.69/416,013.84
  6. Step 6: Final answer
    x = 263,653.10

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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.