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Finding the Fourth Proportional to 525,610.88, 724,490.88 and 410,688.64

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Solution

The fourth proportional to 525,610.88, 724,490.88 and 410,688.64 is: 566,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,610.88 : 724,490.88 = 410,688.64 : x
  2. Step 2: Convert to fraction form
    525,610.88/724,490.88 = 410,688.64/x
  3. Step 3: Cross multiply
    525,610.88x = 724,490.88 × 410,688.64
  4. Step 4: Simplify right side
    525,610.88x = 297,540,174,199.60
  5. Step 5: Solve for x
    x = 297,540,174,199.60/525,610.88
  6. Step 6: Final answer
    x = 566,084.50

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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.