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Finding the Fourth Proportional to 413,686.36, 570,886.86 and 234,838.36

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Solution

The fourth proportional to 413,686.36, 570,886.86 and 234,838.36 is: 324,076.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,686.36 : 570,886.86 = 234,838.36 : x
  2. Step 2: Convert to fraction form
    413,686.36/570,886.86 = 234,838.36/x
  3. Step 3: Cross multiply
    413,686.36x = 570,886.86 × 234,838.36
  4. Step 4: Simplify right side
    413,686.36x = 134,066,133,947.95
  5. Step 5: Solve for x
    x = 134,066,133,947.95/413,686.36
  6. Step 6: Final answer
    x = 324,076.76

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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.