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Finding the Fourth Proportional to 407,547.43, 562,387.48 and 226,245.24

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Solution

The fourth proportional to 407,547.43, 562,387.48 and 226,245.24 is: 312,202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,547.43 : 562,387.48 = 226,245.24 : x
  2. Step 2: Convert to fraction form
    407,547.43/562,387.48 = 226,245.24/x
  3. Step 3: Cross multiply
    407,547.43x = 562,387.48 × 226,245.24
  4. Step 4: Simplify right side
    407,547.43x = 127,237,490,385.60
  5. Step 5: Solve for x
    x = 127,237,490,385.60/407,547.43
  6. Step 6: Final answer
    x = 312,202.90

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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.