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Finding the Fourth Proportional to 432,248.90, 648,457.38 and 165,989.84

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Solution

The fourth proportional to 432,248.90, 648,457.38 and 165,989.84 is: 249,017.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,248.90 : 648,457.38 = 165,989.84 : x
  2. Step 2: Convert to fraction form
    432,248.90/648,457.38 = 165,989.84/x
  3. Step 3: Cross multiply
    432,248.90x = 648,457.38 × 165,989.84
  4. Step 4: Simplify right side
    432,248.90x = 107,637,333,510.73
  5. Step 5: Solve for x
    x = 107,637,333,510.73/432,248.90
  6. Step 6: Final answer
    x = 249,017.02

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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.