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Finding the Fourth Proportional to 978,444.48, 1,467,874.08 and 314,063.04

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Solution

The fourth proportional to 978,444.48, 1,467,874.08 and 314,063.04 is: 471,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,444.48 : 1,467,874.08 = 314,063.04 : x
  2. Step 2: Convert to fraction form
    978,444.48/1,467,874.08 = 314,063.04/x
  3. Step 3: Cross multiply
    978,444.48x = 1,467,874.08 × 314,063.04
  4. Step 4: Simplify right side
    978,444.48x = 461,004,995,902.00
  5. Step 5: Solve for x
    x = 461,004,995,902.00/978,444.48
  6. Step 6: Final answer
    x = 471,161.12

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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.