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Finding the Fourth Proportional to 504,421.38, 696,106.17 and 278,074.98

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Solution

The fourth proportional to 504,421.38, 696,106.17 and 278,074.98 is: 383,746.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,421.38 : 696,106.17 = 278,074.98 : x
  2. Step 2: Convert to fraction form
    504,421.38/696,106.17 = 278,074.98/x
  3. Step 3: Cross multiply
    504,421.38x = 696,106.17 × 278,074.98
  4. Step 4: Simplify right side
    504,421.38x = 193,569,709,300.63
  5. Step 5: Solve for x
    x = 193,569,709,300.63/504,421.38
  6. Step 6: Final answer
    x = 383,746.04

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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.