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Finding the Fourth Proportional to 525,443.22, 723,584.37 and 456,500.78

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Solution

The fourth proportional to 525,443.22, 723,584.37 and 456,500.78 is: 628,644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,443.22 : 723,584.37 = 456,500.78 : x
  2. Step 2: Convert to fraction form
    525,443.22/723,584.37 = 456,500.78/x
  3. Step 3: Cross multiply
    525,443.22x = 723,584.37 × 456,500.78
  4. Step 4: Simplify right side
    525,443.22x = 330,316,829,300.81
  5. Step 5: Solve for x
    x = 330,316,829,300.81/525,443.22
  6. Step 6: Final answer
    x = 628,644.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.