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Finding the Fourth Proportional to 430,030.20, 644,814.90 and 180,430.20

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Solution

The fourth proportional to 430,030.20, 644,814.90 and 180,430.20 is: 270,548.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,030.20 : 644,814.90 = 180,430.20 : x
  2. Step 2: Convert to fraction form
    430,030.20/644,814.90 = 180,430.20/x
  3. Step 3: Cross multiply
    430,030.20x = 644,814.90 × 180,430.20
  4. Step 4: Simplify right side
    430,030.20x = 116,344,081,369.98
  5. Step 5: Solve for x
    x = 116,344,081,369.98/430,030.20
  6. Step 6: Final answer
    x = 270,548.63

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1.5x scale

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.