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Finding the Fourth Proportional to 360,435.34, 497,380.68 and 199,280.98

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Solution

The fourth proportional to 360,435.34, 497,380.68 and 199,280.98 is: 274,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,435.34 : 497,380.68 = 199,280.98 : x
  2. Step 2: Convert to fraction form
    360,435.34/497,380.68 = 199,280.98/x
  3. Step 3: Cross multiply
    360,435.34x = 497,380.68 × 199,280.98
  4. Step 4: Simplify right side
    360,435.34x = 99,118,509,343.47
  5. Step 5: Solve for x
    x = 99,118,509,343.47/360,435.34
  6. Step 6: Final answer
    x = 274,996.65

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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.