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Finding the Fourth Proportional to 516,050.94, 712,151.01 and 289,698.06

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Solution

The fourth proportional to 516,050.94, 712,151.01 and 289,698.06 is: 399,783.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,050.94 : 712,151.01 = 289,698.06 : x
  2. Step 2: Convert to fraction form
    516,050.94/712,151.01 = 289,698.06/x
  3. Step 3: Cross multiply
    516,050.94x = 712,151.01 × 289,698.06
  4. Step 4: Simplify right side
    516,050.94x = 206,308,766,024.04
  5. Step 5: Solve for x
    x = 206,308,766,024.04/516,050.94
  6. Step 6: Final answer
    x = 399,783.72

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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.