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Finding the Fourth Proportional to 663,056.94, 914,294.50 and 447,823.33

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Solution

The fourth proportional to 663,056.94, 914,294.50 and 447,823.33 is: 617,507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,056.94 : 914,294.50 = 447,823.33 : x
  2. Step 2: Convert to fraction form
    663,056.94/914,294.50 = 447,823.33/x
  3. Step 3: Cross multiply
    663,056.94x = 914,294.50 × 447,823.33
  4. Step 4: Simplify right side
    663,056.94x = 409,442,407,590.69
  5. Step 5: Solve for x
    x = 409,442,407,590.69/663,056.94
  6. Step 6: Final answer
    x = 617,507.16

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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.