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Finding the Fourth Proportional to 506,241.47, 698,677.50 and 288,528.41

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Solution

The fourth proportional to 506,241.47, 698,677.50 and 288,528.41 is: 398,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,241.47 : 698,677.50 = 288,528.41 : x
  2. Step 2: Convert to fraction form
    506,241.47/698,677.50 = 288,528.41/x
  3. Step 3: Cross multiply
    506,241.47x = 698,677.50 × 288,528.41
  4. Step 4: Simplify right side
    506,241.47x = 201,588,308,177.78
  5. Step 5: Solve for x
    x = 201,588,308,177.78/506,241.47
  6. Step 6: Final answer
    x = 398,205.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.