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Finding the Fourth Proportional to 462,132.12, 692,594.26 and 334,478.22

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Solution

The fourth proportional to 462,132.12, 692,594.26 and 334,478.22 is: 501,280.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,132.12 : 692,594.26 = 334,478.22 : x
  2. Step 2: Convert to fraction form
    462,132.12/692,594.26 = 334,478.22/x
  3. Step 3: Cross multiply
    462,132.12x = 692,594.26 × 334,478.22
  4. Step 4: Simplify right side
    462,132.12x = 231,657,695,267.02
  5. Step 5: Solve for x
    x = 231,657,695,267.02/462,132.12
  6. Step 6: Final answer
    x = 501,280.23

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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.