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Finding the Fourth Proportional to 517,506.69, 714,151.59 and 288,063.64

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Solution

The fourth proportional to 517,506.69, 714,151.59 and 288,063.64 is: 397,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,506.69 : 714,151.59 = 288,063.64 : x
  2. Step 2: Convert to fraction form
    517,506.69/714,151.59 = 288,063.64/x
  3. Step 3: Cross multiply
    517,506.69x = 714,151.59 × 288,063.64
  4. Step 4: Simplify right side
    517,506.69x = 205,721,106,339.64
  5. Step 5: Solve for x
    x = 205,721,106,339.64/517,506.69
  6. Step 6: Final answer
    x = 397,523.57

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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.