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Finding the Fourth Proportional to 527,938.38, 728,560.08 and 286,220.34

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Solution

The fourth proportional to 527,938.38, 728,560.08 and 286,220.34 is: 394,986.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,938.38 : 728,560.08 = 286,220.34 : x
  2. Step 2: Convert to fraction form
    527,938.38/728,560.08 = 286,220.34/x
  3. Step 3: Cross multiply
    527,938.38x = 728,560.08 × 286,220.34
  4. Step 4: Simplify right side
    527,938.38x = 208,528,713,808.03
  5. Step 5: Solve for x
    x = 208,528,713,808.03/527,938.38
  6. Step 6: Final answer
    x = 394,986.84

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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.