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Finding the Fourth Proportional to 523,829.12, 722,889.24 and 297,476.24

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Solution

The fourth proportional to 523,829.12, 722,889.24 and 297,476.24 is: 410,520.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,829.12 : 722,889.24 = 297,476.24 : x
  2. Step 2: Convert to fraction form
    523,829.12/722,889.24 = 297,476.24/x
  3. Step 3: Cross multiply
    523,829.12x = 722,889.24 × 297,476.24
  4. Step 4: Simplify right side
    523,829.12x = 215,042,373,051.66
  5. Step 5: Solve for x
    x = 215,042,373,051.66/523,829.12
  6. Step 6: Final answer
    x = 410,520.08

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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.