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Finding the Fourth Proportional to 407,927.92, 563,021.52 and 260,658.64

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Solution

The fourth proportional to 407,927.92, 563,021.52 and 260,658.64 is: 359,760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,927.92 : 563,021.52 = 260,658.64 : x
  2. Step 2: Convert to fraction form
    407,927.92/563,021.52 = 260,658.64/x
  3. Step 3: Cross multiply
    407,927.92x = 563,021.52 × 260,658.64
  4. Step 4: Simplify right side
    407,927.92x = 146,756,423,693.93
  5. Step 5: Solve for x
    x = 146,756,423,693.93/407,927.92
  6. Step 6: Final answer
    x = 359,760.67

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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.