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Finding the Fourth Proportional to 688,097, 949,573.86 and 386,291

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Solution

The fourth proportional to 688,097, 949,573.86 and 386,291 is: 533,081.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,097 : 949,573.86 = 386,291 : x
  2. Step 2: Convert to fraction form
    688,097/949,573.86 = 386,291/x
  3. Step 3: Cross multiply
    688,097x = 949,573.86 × 386,291
  4. Step 4: Simplify right side
    688,097x = 366,811,835,953.26
  5. Step 5: Solve for x
    x = 366,811,835,953.26/688,097
  6. Step 6: Final answer
    x = 533,081.58

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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.