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Finding the Fourth Proportional to 553,462.88, 830,260.82 and 523,195.66

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Solution

The fourth proportional to 553,462.88, 830,260.82 and 523,195.66 is: 784,856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,462.88 : 830,260.82 = 523,195.66 : x
  2. Step 2: Convert to fraction form
    553,462.88/830,260.82 = 523,195.66/x
  3. Step 3: Cross multiply
    553,462.88x = 830,260.82 × 523,195.66
  4. Step 4: Simplify right side
    553,462.88x = 434,388,852,424.66
  5. Step 5: Solve for x
    x = 434,388,852,424.66/553,462.88
  6. Step 6: Final answer
    x = 784,856.35

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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.