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Finding the Fourth Proportional to 307,417.80, 424,269.18 and 180,200.28

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Solution

The fourth proportional to 307,417.80, 424,269.18 and 180,200.28 is: 248,695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,417.80 : 424,269.18 = 180,200.28 : x
  2. Step 2: Convert to fraction form
    307,417.80/424,269.18 = 180,200.28/x
  3. Step 3: Cross multiply
    307,417.80x = 424,269.18 × 180,200.28
  4. Step 4: Simplify right side
    307,417.80x = 76,453,425,031.37
  5. Step 5: Solve for x
    x = 76,453,425,031.37/307,417.80
  6. Step 6: Final answer
    x = 248,695.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.