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Finding the Fourth Proportional to 288,542.10, 432,813.15 and 284,394.90

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Solution

The fourth proportional to 288,542.10, 432,813.15 and 284,394.90 is: 426,592.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,542.10 : 432,813.15 = 284,394.90 : x
  2. Step 2: Convert to fraction form
    288,542.10/432,813.15 = 284,394.90/x
  3. Step 3: Cross multiply
    288,542.10x = 432,813.15 × 284,394.90
  4. Step 4: Simplify right side
    288,542.10x = 123,089,852,512.94
  5. Step 5: Solve for x
    x = 123,089,852,512.94/288,542.10
  6. Step 6: Final answer
    x = 426,592.35

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1.5x scale

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.