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Finding the Fourth Proportional to 600,702.24, 829,153.56 and 346,222.80

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Solution

The fourth proportional to 600,702.24, 829,153.56 and 346,222.80 is: 477,893.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,702.24 : 829,153.56 = 346,222.80 : x
  2. Step 2: Convert to fraction form
    600,702.24/829,153.56 = 346,222.80/x
  3. Step 3: Cross multiply
    600,702.24x = 829,153.56 × 346,222.80
  4. Step 4: Simplify right side
    600,702.24x = 287,071,867,173.17
  5. Step 5: Solve for x
    x = 287,071,867,173.17/600,702.24
  6. Step 6: Final answer
    x = 477,893.79

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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.