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Finding the Fourth Proportional to 320,417.55, 442,175.06 and 180,705.05

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Solution

The fourth proportional to 320,417.55, 442,175.06 and 180,705.05 is: 249,372.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,417.55 : 442,175.06 = 180,705.05 : x
  2. Step 2: Convert to fraction form
    320,417.55/442,175.06 = 180,705.05/x
  3. Step 3: Cross multiply
    320,417.55x = 442,175.06 × 180,705.05
  4. Step 4: Simplify right side
    320,417.55x = 79,903,266,225.10
  5. Step 5: Solve for x
    x = 79,903,266,225.10/320,417.55
  6. Step 6: Final answer
    x = 249,372.32

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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.