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Finding the Fourth Proportional to 652,409.20, 977,301.60 and 439,832.80

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Solution

The fourth proportional to 652,409.20, 977,301.60 and 439,832.80 is: 658,864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,409.20 : 977,301.60 = 439,832.80 : x
  2. Step 2: Convert to fraction form
    652,409.20/977,301.60 = 439,832.80/x
  3. Step 3: Cross multiply
    652,409.20x = 977,301.60 × 439,832.80
  4. Step 4: Simplify right side
    652,409.20x = 429,849,299,172.48
  5. Step 5: Solve for x
    x = 429,849,299,172.48/652,409.20
  6. Step 6: Final answer
    x = 658,864.56

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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.