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Finding the Fourth Proportional to 413,587.94, 570,725.07 and 232,295.18

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Solution

The fourth proportional to 413,587.94, 570,725.07 and 232,295.18 is: 320,552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,587.94 : 570,725.07 = 232,295.18 : x
  2. Step 2: Convert to fraction form
    413,587.94/570,725.07 = 232,295.18/x
  3. Step 3: Cross multiply
    413,587.94x = 570,725.07 × 232,295.18
  4. Step 4: Simplify right side
    413,587.94x = 132,576,682,866.16
  5. Step 5: Solve for x
    x = 132,576,682,866.16/413,587.94
  6. Step 6: Final answer
    x = 320,552.58

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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.