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Finding the Fourth Proportional to 513,106.16, 708,025.16 and 283,632.54

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Solution

The fourth proportional to 513,106.16, 708,025.16 and 283,632.54 is: 391,379.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,106.16 : 708,025.16 = 283,632.54 : x
  2. Step 2: Convert to fraction form
    513,106.16/708,025.16 = 283,632.54/x
  3. Step 3: Cross multiply
    513,106.16x = 708,025.16 × 283,632.54
  4. Step 4: Simplify right side
    513,106.16x = 200,818,973,096.54
  5. Step 5: Solve for x
    x = 200,818,973,096.54/513,106.16
  6. Step 6: Final answer
    x = 391,379.00

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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.