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Finding the Fourth Proportional to 527,928.84, 728,580.42 and 301,569.48

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Solution

The fourth proportional to 527,928.84, 728,580.42 and 301,569.48 is: 416,187.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,928.84 : 728,580.42 = 301,569.48 : x
  2. Step 2: Convert to fraction form
    527,928.84/728,580.42 = 301,569.48/x
  3. Step 3: Cross multiply
    527,928.84x = 728,580.42 × 301,569.48
  4. Step 4: Simplify right side
    527,928.84x = 219,717,618,397.58
  5. Step 5: Solve for x
    x = 219,717,618,397.58/527,928.84
  6. Step 6: Final answer
    x = 416,187.94

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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.