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Finding the Fourth Proportional to 407,547.40, 562,433.57 and 226,261.80

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Solution

The fourth proportional to 407,547.40, 562,433.57 and 226,261.80 is: 312,251.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,547.40 : 562,433.57 = 226,261.80 : x
  2. Step 2: Convert to fraction form
    407,547.40/562,433.57 = 226,261.80/x
  3. Step 3: Cross multiply
    407,547.40x = 562,433.57 × 226,261.80
  4. Step 4: Simplify right side
    407,547.40x = 127,257,232,203.40
  5. Step 5: Solve for x
    x = 127,257,232,203.40/407,547.40
  6. Step 6: Final answer
    x = 312,251.37

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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.