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Finding the Fourth Proportional to 504,460.40, 696,160.72 and 278,114

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Solution

The fourth proportional to 504,460.40, 696,160.72 and 278,114 is: 383,800.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,460.40 : 696,160.72 = 278,114 : x
  2. Step 2: Convert to fraction form
    504,460.40/696,160.72 = 278,114/x
  3. Step 3: Cross multiply
    504,460.40x = 696,160.72 × 278,114
  4. Step 4: Simplify right side
    504,460.40x = 193,612,042,482.08
  5. Step 5: Solve for x
    x = 193,612,042,482.08/504,460.40
  6. Step 6: Final answer
    x = 383,800.28

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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.