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Finding the Fourth Proportional to 413,435.34, 570,443.31 and 234,587.34

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Solution

The fourth proportional to 413,435.34, 570,443.31 and 234,587.34 is: 323,675.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,435.34 : 570,443.31 = 234,587.34 : x
  2. Step 2: Convert to fraction form
    413,435.34/570,443.31 = 234,587.34/x
  3. Step 3: Cross multiply
    413,435.34x = 570,443.31 × 234,587.34
  4. Step 4: Simplify right side
    413,435.34x = 133,818,778,713.70
  5. Step 5: Solve for x
    x = 133,818,778,713.70/413,435.34
  6. Step 6: Final answer
    x = 323,675.23

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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.