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Finding the Fourth Proportional to 478,429.92, 717,108.48 and 194,054.40

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Solution

The fourth proportional to 478,429.92, 717,108.48 and 194,054.40 is: 290,864.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,429.92 : 717,108.48 = 194,054.40 : x
  2. Step 2: Convert to fraction form
    478,429.92/717,108.48 = 194,054.40/x
  3. Step 3: Cross multiply
    478,429.92x = 717,108.48 × 194,054.40
  4. Step 4: Simplify right side
    478,429.92x = 139,158,055,821.31
  5. Step 5: Solve for x
    x = 139,158,055,821.31/478,429.92
  6. Step 6: Final answer
    x = 290,864.03

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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.