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Finding the Fourth Proportional to 433,045.51, 649,526.46 and 133,445.64

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Solution

The fourth proportional to 433,045.51, 649,526.46 and 133,445.64 is: 200,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,045.51 : 649,526.46 = 133,445.64 : x
  2. Step 2: Convert to fraction form
    433,045.51/649,526.46 = 133,445.64/x
  3. Step 3: Cross multiply
    433,045.51x = 649,526.46 × 133,445.64
  4. Step 4: Simplify right side
    433,045.51x = 86,676,474,151.63
  5. Step 5: Solve for x
    x = 86,676,474,151.63/433,045.51
  6. Step 6: Final answer
    x = 200,155.58

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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.