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Finding the Fourth Proportional to 522,491.76, 785,509.26 and 417,220.52

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Solution

The fourth proportional to 522,491.76, 785,509.26 and 417,220.52 is: 627,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,491.76 : 785,509.26 = 417,220.52 : x
  2. Step 2: Convert to fraction form
    522,491.76/785,509.26 = 417,220.52/x
  3. Step 3: Cross multiply
    522,491.76x = 785,509.26 × 417,220.52
  4. Step 4: Simplify right side
    522,491.76x = 327,730,577,994.47
  5. Step 5: Solve for x
    x = 327,730,577,994.47/522,491.76
  6. Step 6: Final answer
    x = 627,245.45

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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.