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Finding the Fourth Proportional to 472,321.90, 651,784.62 and 257,457.34

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Solution

The fourth proportional to 472,321.90, 651,784.62 and 257,457.34 is: 355,280.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,321.90 : 651,784.62 = 257,457.34 : x
  2. Step 2: Convert to fraction form
    472,321.90/651,784.62 = 257,457.34/x
  3. Step 3: Cross multiply
    472,321.90x = 651,784.62 × 257,457.34
  4. Step 4: Simplify right side
    472,321.90x = 167,806,734,518.11
  5. Step 5: Solve for x
    x = 167,806,734,518.11/472,321.90
  6. Step 6: Final answer
    x = 355,280.44

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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.