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Finding the Fourth Proportional to 497,774.97, 747,410.19 and 284,783.34

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Solution

The fourth proportional to 497,774.97, 747,410.19 and 284,783.34 is: 427,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,774.97 : 747,410.19 = 284,783.34 : x
  2. Step 2: Convert to fraction form
    497,774.97/747,410.19 = 284,783.34/x
  3. Step 3: Cross multiply
    497,774.97x = 747,410.19 × 284,783.34
  4. Step 4: Simplify right side
    497,774.97x = 212,849,971,993.09
  5. Step 5: Solve for x
    x = 212,849,971,993.09/497,774.97
  6. Step 6: Final answer
    x = 427,602.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.