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Finding the Fourth Proportional to 476,008.29, 714,029.45 and 160,467.93

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Solution

The fourth proportional to 476,008.29, 714,029.45 and 160,467.93 is: 240,707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,008.29 : 714,029.45 = 160,467.93 : x
  2. Step 2: Convert to fraction form
    476,008.29/714,029.45 = 160,467.93/x
  3. Step 3: Cross multiply
    476,008.29x = 714,029.45 × 160,467.93
  4. Step 4: Simplify right side
    476,008.29x = 114,578,826,998.20
  5. Step 5: Solve for x
    x = 114,578,826,998.20/476,008.29
  6. Step 6: Final answer
    x = 240,707.63

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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.