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Finding the Fourth Proportional to 475,889.11, 713,837.30 and 160,341.46

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Solution

The fourth proportional to 475,889.11, 713,837.30 and 160,341.46 is: 240,513.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,889.11 : 713,837.30 = 160,341.46 : x
  2. Step 2: Convert to fraction form
    475,889.11/713,837.30 = 160,341.46/x
  3. Step 3: Cross multiply
    475,889.11x = 713,837.30 × 160,341.46
  4. Step 4: Simplify right side
    475,889.11x = 114,457,712,298.16
  5. Step 5: Solve for x
    x = 114,457,712,298.16/475,889.11
  6. Step 6: Final answer
    x = 240,513.41

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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.