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Finding the Fourth Proportional to 478,387.83, 717,607.94 and 194,036.16

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Solution

The fourth proportional to 478,387.83, 717,607.94 and 194,036.16 is: 291,064.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,387.83 : 717,607.94 = 194,036.16 : x
  2. Step 2: Convert to fraction form
    478,387.83/717,607.94 = 194,036.16/x
  3. Step 3: Cross multiply
    478,387.83x = 717,607.94 × 194,036.16
  4. Step 4: Simplify right side
    478,387.83x = 139,241,888,092.93
  5. Step 5: Solve for x
    x = 139,241,888,092.93/478,387.83
  6. Step 6: Final answer
    x = 291,064.86

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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.