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Finding the Fourth Proportional to 468,459.98, 646,474.64 and 253,599.89

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Solution

The fourth proportional to 468,459.98, 646,474.64 and 253,599.89 is: 349,967.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,459.98 : 646,474.64 = 253,599.89 : x
  2. Step 2: Convert to fraction form
    468,459.98/646,474.64 = 253,599.89/x
  3. Step 3: Cross multiply
    468,459.98x = 646,474.64 × 253,599.89
  4. Step 4: Simplify right side
    468,459.98x = 163,945,893,091.42
  5. Step 5: Solve for x
    x = 163,945,893,091.42/468,459.98
  6. Step 6: Final answer
    x = 349,967.77

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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.