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Finding the Fourth Proportional to 393,564.30, 590,346.45 and 314,832.30

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Solution

The fourth proportional to 393,564.30, 590,346.45 and 314,832.30 is: 472,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,564.30 : 590,346.45 = 314,832.30 : x
  2. Step 2: Convert to fraction form
    393,564.30/590,346.45 = 314,832.30/x
  3. Step 3: Cross multiply
    393,564.30x = 590,346.45 × 314,832.30
  4. Step 4: Simplify right side
    393,564.30x = 185,860,130,650.34
  5. Step 5: Solve for x
    x = 185,860,130,650.34/393,564.30
  6. Step 6: Final answer
    x = 472,248.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.