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Finding the Fourth Proportional to 433,154.46, 646,559.07 and 382,022.40

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Solution

The fourth proportional to 433,154.46, 646,559.07 and 382,022.40 is: 570,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,154.46 : 646,559.07 = 382,022.40 : x
  2. Step 2: Convert to fraction form
    433,154.46/646,559.07 = 382,022.40/x
  3. Step 3: Cross multiply
    433,154.46x = 646,559.07 × 382,022.40
  4. Step 4: Simplify right side
    433,154.46x = 247,000,047,663.17
  5. Step 5: Solve for x
    x = 247,000,047,663.17/433,154.46
  6. Step 6: Final answer
    x = 570,235.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.