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Finding the Fourth Proportional to 504,638.60, 696,416.82 and 289,821.74

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Solution

The fourth proportional to 504,638.60, 696,416.82 and 289,821.74 is: 399,962.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,638.60 : 696,416.82 = 289,821.74 : x
  2. Step 2: Convert to fraction form
    504,638.60/696,416.82 = 289,821.74/x
  3. Step 3: Cross multiply
    504,638.60x = 696,416.82 × 289,821.74
  4. Step 4: Simplify right side
    504,638.60x = 201,836,734,537.67
  5. Step 5: Solve for x
    x = 201,836,734,537.67/504,638.60
  6. Step 6: Final answer
    x = 399,962.93

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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.