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Finding the Fourth Proportional to 601,217.76, 829,830.24 and 346,722.24

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Solution

The fourth proportional to 601,217.76, 829,830.24 and 346,722.24 is: 478,563.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,217.76 : 829,830.24 = 346,722.24 : x
  2. Step 2: Convert to fraction form
    601,217.76/829,830.24 = 346,722.24/x
  3. Step 3: Cross multiply
    601,217.76x = 829,830.24 × 346,722.24
  4. Step 4: Simplify right side
    601,217.76x = 287,720,599,632.54
  5. Step 5: Solve for x
    x = 287,720,599,632.54/601,217.76
  6. Step 6: Final answer
    x = 478,563.04

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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.