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Finding the Fourth Proportional to 525,611.88, 724,492.26 and 410,689.64

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Solution

The fourth proportional to 525,611.88, 724,492.26 and 410,689.64 is: 566,085.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,611.88 : 724,492.26 = 410,689.64 : x
  2. Step 2: Convert to fraction form
    525,611.88/724,492.26 = 410,689.64/x
  3. Step 3: Cross multiply
    525,611.88x = 724,492.26 × 410,689.64
  4. Step 4: Simplify right side
    525,611.88x = 297,541,465,442.19
  5. Step 5: Solve for x
    x = 297,541,465,442.19/525,611.88
  6. Step 6: Final answer
    x = 566,085.88

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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.