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Finding the Fourth Proportional to 459,056.75, 633,573.45 and 382,454.38

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Solution

The fourth proportional to 459,056.75, 633,573.45 and 382,454.38 is: 527,849.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,056.75 : 633,573.45 = 382,454.38 : x
  2. Step 2: Convert to fraction form
    459,056.75/633,573.45 = 382,454.38/x
  3. Step 3: Cross multiply
    459,056.75x = 633,573.45 × 382,454.38
  4. Step 4: Simplify right side
    459,056.75x = 242,312,935,924.07
  5. Step 5: Solve for x
    x = 242,312,935,924.07/459,056.75
  6. Step 6: Final answer
    x = 527,849.63

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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.