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Finding the Fourth Proportional to 432,419.89, 648,632.14 and 283,602.58

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Solution

The fourth proportional to 432,419.89, 648,632.14 and 283,602.58 is: 425,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,419.89 : 648,632.14 = 283,602.58 : x
  2. Step 2: Convert to fraction form
    432,419.89/648,632.14 = 283,602.58/x
  3. Step 3: Cross multiply
    432,419.89x = 648,632.14 × 283,602.58
  4. Step 4: Simplify right side
    432,419.89x = 183,953,748,324.03
  5. Step 5: Solve for x
    x = 183,953,748,324.03/432,419.89
  6. Step 6: Final answer
    x = 425,405.38

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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.