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Finding the Fourth Proportional to 464,079.81, 696,019.48 and 164,570.16

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Solution

The fourth proportional to 464,079.81, 696,019.48 and 164,570.16 is: 246,819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,079.81 : 696,019.48 = 164,570.16 : x
  2. Step 2: Convert to fraction form
    464,079.81/696,019.48 = 164,570.16/x
  3. Step 3: Cross multiply
    464,079.81x = 696,019.48 × 164,570.16
  4. Step 4: Simplify right side
    464,079.81x = 114,544,036,363.87
  5. Step 5: Solve for x
    x = 114,544,036,363.87/464,079.81
  6. Step 6: Final answer
    x = 246,819.69

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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.