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Finding the Fourth Proportional to 653,918.14, 902,487.66 and 367,432

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Solution

The fourth proportional to 653,918.14, 902,487.66 and 367,432 is: 507,101.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,918.14 : 902,487.66 = 367,432 : x
  2. Step 2: Convert to fraction form
    653,918.14/902,487.66 = 367,432/x
  3. Step 3: Cross multiply
    653,918.14x = 902,487.66 × 367,432
  4. Step 4: Simplify right side
    653,918.14x = 331,602,845,889.12
  5. Step 5: Solve for x
    x = 331,602,845,889.12/653,918.14
  6. Step 6: Final answer
    x = 507,101.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.