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Finding the Fourth Proportional to 407,265.59, 562,017.92 and 225,973.64

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Solution

The fourth proportional to 407,265.59, 562,017.92 and 225,973.64 is: 311,838.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,265.59 : 562,017.92 = 225,973.64 : x
  2. Step 2: Convert to fraction form
    407,265.59/562,017.92 = 225,973.64/x
  3. Step 3: Cross multiply
    407,265.59x = 562,017.92 × 225,973.64
  4. Step 4: Simplify right side
    407,265.59x = 127,001,231,187.67
  5. Step 5: Solve for x
    x = 127,001,231,187.67/407,265.59
  6. Step 6: Final answer
    x = 311,838.85

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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.