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Finding the Fourth Proportional to 433,644.60, 652,022.10 and 365,215.80

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Solution

The fourth proportional to 433,644.60, 652,022.10 and 365,215.80 is: 549,133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,644.60 : 652,022.10 = 365,215.80 : x
  2. Step 2: Convert to fraction form
    433,644.60/652,022.10 = 365,215.80/x
  3. Step 3: Cross multiply
    433,644.60x = 652,022.10 × 365,215.80
  4. Step 4: Simplify right side
    433,644.60x = 238,128,772,869.18
  5. Step 5: Solve for x
    x = 238,128,772,869.18/433,644.60
  6. Step 6: Final answer
    x = 549,133.49

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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.