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Finding the Fourth Proportional to 415,238.10, 569,291.29 and 407,671.23

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Solution

The fourth proportional to 415,238.10, 569,291.29 and 407,671.23 is: 558,917.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,238.10 : 569,291.29 = 407,671.23 : x
  2. Step 2: Convert to fraction form
    415,238.10/569,291.29 = 407,671.23/x
  3. Step 3: Cross multiply
    415,238.10x = 569,291.29 × 407,671.23
  4. Step 4: Simplify right side
    415,238.10x = 232,083,678,335.99
  5. Step 5: Solve for x
    x = 232,083,678,335.99/415,238.10
  6. Step 6: Final answer
    x = 558,917.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.