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Finding the Fourth Proportional to 553,103.84, 763,056.24 and 410,215.52

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Solution

The fourth proportional to 553,103.84, 763,056.24 and 410,215.52 is: 565,929.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,103.84 : 763,056.24 = 410,215.52 : x
  2. Step 2: Convert to fraction form
    553,103.84/763,056.24 = 410,215.52/x
  3. Step 3: Cross multiply
    553,103.84x = 763,056.24 × 410,215.52
  4. Step 4: Simplify right side
    553,103.84x = 313,017,512,280.85
  5. Step 5: Solve for x
    x = 313,017,512,280.85/553,103.84
  6. Step 6: Final answer
    x = 565,929.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.