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Finding the Fourth Proportional to 407,275.20, 562,038.48 and 226,014.48

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Solution

The fourth proportional to 407,275.20, 562,038.48 and 226,014.48 is: 311,899.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,275.20 : 562,038.48 = 226,014.48 : x
  2. Step 2: Convert to fraction form
    407,275.20/562,038.48 = 226,014.48/x
  3. Step 3: Cross multiply
    407,275.20x = 562,038.48 × 226,014.48
  4. Step 4: Simplify right side
    407,275.20x = 127,028,834,797.19
  5. Step 5: Solve for x
    x = 127,028,834,797.19/407,275.20
  6. Step 6: Final answer
    x = 311,899.26

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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.