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Finding the Fourth Proportional to 506,241.23, 698,677.16 and 288,528.16

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Solution

The fourth proportional to 506,241.23, 698,677.16 and 288,528.16 is: 398,205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,241.23 : 698,677.16 = 288,528.16 : x
  2. Step 2: Convert to fraction form
    506,241.23/698,677.16 = 288,528.16/x
  3. Step 3: Cross multiply
    506,241.23x = 698,677.16 × 288,528.16
  4. Step 4: Simplify right side
    506,241.23x = 201,588,032,219.49
  5. Step 5: Solve for x
    x = 201,588,032,219.49/506,241.23
  6. Step 6: Final answer
    x = 398,205.48

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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.