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Finding the Fourth Proportional to 407,411.81, 562,217.49 and 226,119.06

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Solution

The fourth proportional to 407,411.81, 562,217.49 and 226,119.06 is: 312,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,411.81 : 562,217.49 = 226,119.06 : x
  2. Step 2: Convert to fraction form
    407,411.81/562,217.49 = 226,119.06/x
  3. Step 3: Cross multiply
    407,411.81x = 562,217.49 × 226,119.06
  4. Step 4: Simplify right side
    407,411.81x = 127,128,090,354.36
  5. Step 5: Solve for x
    x = 127,128,090,354.36/407,411.81
  6. Step 6: Final answer
    x = 312,038.31

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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.