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Finding the Fourth Proportional to 505,329.84, 697,341.84 and 278,970.48

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Solution

The fourth proportional to 505,329.84, 697,341.84 and 278,970.48 is: 384,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,329.84 : 697,341.84 = 278,970.48 : x
  2. Step 2: Convert to fraction form
    505,329.84/697,341.84 = 278,970.48/x
  3. Step 3: Cross multiply
    505,329.84x = 697,341.84 × 278,970.48
  4. Step 4: Simplify right side
    505,329.84x = 194,537,787,828.88
  5. Step 5: Solve for x
    x = 194,537,787,828.88/505,329.84
  6. Step 6: Final answer
    x = 384,971.90

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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.