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Finding the Fourth Proportional to 525,721.40, 788,582.10 and 420,745.40

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Solution

The fourth proportional to 525,721.40, 788,582.10 and 420,745.40 is: 631,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,721.40 : 788,582.10 = 420,745.40 : x
  2. Step 2: Convert to fraction form
    525,721.40/788,582.10 = 420,745.40/x
  3. Step 3: Cross multiply
    525,721.40x = 788,582.10 × 420,745.40
  4. Step 4: Simplify right side
    525,721.40x = 331,792,291,097.34
  5. Step 5: Solve for x
    x = 331,792,291,097.34/525,721.40
  6. Step 6: Final answer
    x = 631,118.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.