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Finding the Fourth Proportional to 503,214.88, 693,685.20 and 333,153.76

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Solution

The fourth proportional to 503,214.88, 693,685.20 and 333,153.76 is: 459,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,214.88 : 693,685.20 = 333,153.76 : x
  2. Step 2: Convert to fraction form
    503,214.88/693,685.20 = 333,153.76/x
  3. Step 3: Cross multiply
    503,214.88x = 693,685.20 × 333,153.76
  4. Step 4: Simplify right side
    503,214.88x = 231,103,832,636.35
  5. Step 5: Solve for x
    x = 231,103,832,636.35/503,214.88
  6. Step 6: Final answer
    x = 459,254.77

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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.