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Finding the Fourth Proportional to 287,058.29, 430,193.77 and 181,689.17

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Solution

The fourth proportional to 287,058.29, 430,193.77 and 181,689.17 is: 272,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,058.29 : 430,193.77 = 181,689.17 : x
  2. Step 2: Convert to fraction form
    287,058.29/430,193.77 = 181,689.17/x
  3. Step 3: Cross multiply
    287,058.29x = 430,193.77 × 181,689.17
  4. Step 4: Simplify right side
    287,058.29x = 78,161,549,010.47
  5. Step 5: Solve for x
    x = 78,161,549,010.47/287,058.29
  6. Step 6: Final answer
    x = 272,284.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.