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Finding the Fourth Proportional to 294,298.42, 406,007.94 and 185,209.51

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Solution

The fourth proportional to 294,298.42, 406,007.94 and 185,209.51 is: 255,511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,298.42 : 406,007.94 = 185,209.51 : x
  2. Step 2: Convert to fraction form
    294,298.42/406,007.94 = 185,209.51/x
  3. Step 3: Cross multiply
    294,298.42x = 406,007.94 × 185,209.51
  4. Step 4: Simplify right side
    294,298.42x = 75,196,529,593.47
  5. Step 5: Solve for x
    x = 75,196,529,593.47/294,298.42
  6. Step 6: Final answer
    x = 255,511.16

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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.