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Finding the Fourth Proportional to 686,097.25, 946,814.21 and 417,825.25

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Solution

The fourth proportional to 686,097.25, 946,814.21 and 417,825.25 is: 576,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,097.25 : 946,814.21 = 417,825.25 : x
  2. Step 2: Convert to fraction form
    686,097.25/946,814.21 = 417,825.25/x
  3. Step 3: Cross multiply
    686,097.25x = 946,814.21 × 417,825.25
  4. Step 4: Simplify right side
    686,097.25x = 395,602,881,907.68
  5. Step 5: Solve for x
    x = 395,602,881,907.68/686,097.25
  6. Step 6: Final answer
    x = 576,598.85

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1.5x scale

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.