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Finding the Fourth Proportional to 683,901, 943,783.78 and 382,095

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Solution

The fourth proportional to 683,901, 943,783.78 and 382,095 is: 527,291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,901 : 943,783.78 = 382,095 : x
  2. Step 2: Convert to fraction form
    683,901/943,783.78 = 382,095/x
  3. Step 3: Cross multiply
    683,901x = 943,783.78 × 382,095
  4. Step 4: Simplify right side
    683,901x = 360,615,063,419.10
  5. Step 5: Solve for x
    x = 360,615,063,419.10/683,901
  6. Step 6: Final answer
    x = 527,291.32

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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.