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Finding the Fourth Proportional to 471,411.56, 706,885.68 and 167,703.68

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Solution

The fourth proportional to 471,411.56, 706,885.68 and 167,703.68 is: 251,473.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,411.56 : 706,885.68 = 167,703.68 : x
  2. Step 2: Convert to fraction form
    471,411.56/706,885.68 = 167,703.68/x
  3. Step 3: Cross multiply
    471,411.56x = 706,885.68 × 167,703.68
  4. Step 4: Simplify right side
    471,411.56x = 118,547,329,875.30
  5. Step 5: Solve for x
    x = 118,547,329,875.30/471,411.56
  6. Step 6: Final answer
    x = 251,473.11

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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.