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Finding the Fourth Proportional to 804,924, 1,110,795.12 and 447,228

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Solution

The fourth proportional to 804,924, 1,110,795.12 and 447,228 is: 617,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,924 : 1,110,795.12 = 447,228 : x
  2. Step 2: Convert to fraction form
    804,924/1,110,795.12 = 447,228/x
  3. Step 3: Cross multiply
    804,924x = 1,110,795.12 × 447,228
  4. Step 4: Simplify right side
    804,924x = 496,778,679,927.36
  5. Step 5: Solve for x
    x = 496,778,679,927.36/804,924
  6. Step 6: Final answer
    x = 617,174.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.