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Finding the Fourth Proportional to 533,966.80, 799,783.80 and 414,702.40

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Solution

The fourth proportional to 533,966.80, 799,783.80 and 414,702.40 is: 621,147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,966.80 : 799,783.80 = 414,702.40 : x
  2. Step 2: Convert to fraction form
    533,966.80/799,783.80 = 414,702.40/x
  3. Step 3: Cross multiply
    533,966.80x = 799,783.80 × 414,702.40
  4. Step 4: Simplify right side
    533,966.80x = 331,672,261,341.12
  5. Step 5: Solve for x
    x = 331,672,261,341.12/533,966.80
  6. Step 6: Final answer
    x = 621,147.72

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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.