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Finding the Fourth Proportional to 505,394.32, 697,441.80 and 279,038.20

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Solution

The fourth proportional to 505,394.32, 697,441.80 and 279,038.20 is: 385,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,394.32 : 697,441.80 = 279,038.20 : x
  2. Step 2: Convert to fraction form
    505,394.32/697,441.80 = 279,038.20/x
  3. Step 3: Cross multiply
    505,394.32x = 697,441.80 × 279,038.20
  4. Step 4: Simplify right side
    505,394.32x = 194,612,904,476.76
  5. Step 5: Solve for x
    x = 194,612,904,476.76/505,394.32
  6. Step 6: Final answer
    x = 385,071.41

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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.