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Finding the Fourth Proportional to 647,933.07, 894,146.95 and 357,544.58

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Solution

The fourth proportional to 647,933.07, 894,146.95 and 357,544.58 is: 493,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,933.07 : 894,146.95 = 357,544.58 : x
  2. Step 2: Convert to fraction form
    647,933.07/894,146.95 = 357,544.58/x
  3. Step 3: Cross multiply
    647,933.07x = 894,146.95 × 357,544.58
  4. Step 4: Simplify right side
    647,933.07x = 319,697,396,701.80
  5. Step 5: Solve for x
    x = 319,697,396,701.80/647,933.07
  6. Step 6: Final answer
    x = 493,411.14

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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.