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Finding the Fourth Proportional to 602,978, 832,109.64 and 334,730.96

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Solution

The fourth proportional to 602,978, 832,109.64 and 334,730.96 is: 461,928.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,978 : 832,109.64 = 334,730.96 : x
  2. Step 2: Convert to fraction form
    602,978/832,109.64 = 334,730.96/x
  3. Step 3: Cross multiply
    602,978x = 832,109.64 × 334,730.96
  4. Step 4: Simplify right side
    602,978x = 278,532,858,622.45
  5. Step 5: Solve for x
    x = 278,532,858,622.45/602,978
  6. Step 6: Final answer
    x = 461,928.72

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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.