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Finding the Fourth Proportional to 466,054.77, 698,597.37 and 316,307.25

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Solution

The fourth proportional to 466,054.77, 698,597.37 and 316,307.25 is: 474,131.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,054.77 : 698,597.37 = 316,307.25 : x
  2. Step 2: Convert to fraction form
    466,054.77/698,597.37 = 316,307.25/x
  3. Step 3: Cross multiply
    466,054.77x = 698,597.37 × 316,307.25
  4. Step 4: Simplify right side
    466,054.77x = 220,971,412,961.93
  5. Step 5: Solve for x
    x = 220,971,412,961.93/466,054.77
  6. Step 6: Final answer
    x = 474,131.86

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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.