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Finding the Fourth Proportional to 545,904.81, 753,340.98 and 304,197.57

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Solution

The fourth proportional to 545,904.81, 753,340.98 and 304,197.57 is: 419,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,904.81 : 753,340.98 = 304,197.57 : x
  2. Step 2: Convert to fraction form
    545,904.81/753,340.98 = 304,197.57/x
  3. Step 3: Cross multiply
    545,904.81x = 753,340.98 × 304,197.57
  4. Step 4: Simplify right side
    545,904.81x = 229,164,495,497.42
  5. Step 5: Solve for x
    x = 229,164,495,497.42/545,904.81
  6. Step 6: Final answer
    x = 419,788.38

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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.