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Finding the Fourth Proportional to 413,665.38, 570,827.52 and 232,407.50

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Solution

The fourth proportional to 413,665.38, 570,827.52 and 232,407.50 is: 320,705.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,665.38 : 570,827.52 = 232,407.50 : x
  2. Step 2: Convert to fraction form
    413,665.38/570,827.52 = 232,407.50/x
  3. Step 3: Cross multiply
    413,665.38x = 570,827.52 × 232,407.50
  4. Step 4: Simplify right side
    413,665.38x = 132,664,594,000.26
  5. Step 5: Solve for x
    x = 132,664,594,000.26/413,665.38
  6. Step 6: Final answer
    x = 320,705.09

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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.