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Finding the Fourth Proportional to 505,253.12, 697,247.88 and 278,897

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Solution

The fourth proportional to 505,253.12, 697,247.88 and 278,897 is: 384,877.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,253.12 : 697,247.88 = 278,897 : x
  2. Step 2: Convert to fraction form
    505,253.12/697,247.88 = 278,897/x
  3. Step 3: Cross multiply
    505,253.12x = 697,247.88 × 278,897
  4. Step 4: Simplify right side
    505,253.12x = 194,460,341,988.36
  5. Step 5: Solve for x
    x = 194,460,341,988.36/505,253.12
  6. Step 6: Final answer
    x = 384,877.07

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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.