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Finding the Fourth Proportional to 319,464.40, 479,253.98 and 109,053.14

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Solution

The fourth proportional to 319,464.40, 479,253.98 and 109,053.14 is: 163,599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,464.40 : 479,253.98 = 109,053.14 : x
  2. Step 2: Convert to fraction form
    319,464.40/479,253.98 = 109,053.14/x
  3. Step 3: Cross multiply
    319,464.40x = 479,253.98 × 109,053.14
  4. Step 4: Simplify right side
    319,464.40x = 52,264,151,376.50
  5. Step 5: Solve for x
    x = 52,264,151,376.50/319,464.40
  6. Step 6: Final answer
    x = 163,599.30

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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.