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Finding the Fourth Proportional to 407,698.95, 562,643.24 and 226,411.69

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Solution

The fourth proportional to 407,698.95, 562,643.24 and 226,411.69 is: 312,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,698.95 : 562,643.24 = 226,411.69 : x
  2. Step 2: Convert to fraction form
    407,698.95/562,643.24 = 226,411.69/x
  3. Step 3: Cross multiply
    407,698.95x = 562,643.24 × 226,411.69
  4. Step 4: Simplify right side
    407,698.95x = 127,389,004,296.81
  5. Step 5: Solve for x
    x = 127,389,004,296.81/407,698.95
  6. Step 6: Final answer
    x = 312,458.50

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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.