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Finding the Fourth Proportional to 505,165.28, 697,124.64 and 278,810.80

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Solution

The fourth proportional to 505,165.28, 697,124.64 and 278,810.80 is: 384,757.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,165.28 : 697,124.64 = 278,810.80 : x
  2. Step 2: Convert to fraction form
    505,165.28/697,124.64 = 278,810.80/x
  3. Step 3: Cross multiply
    505,165.28x = 697,124.64 × 278,810.80
  4. Step 4: Simplify right side
    505,165.28x = 194,365,878,578.11
  5. Step 5: Solve for x
    x = 194,365,878,578.11/505,165.28
  6. Step 6: Final answer
    x = 384,757.00

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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.