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Finding the Fourth Proportional to 475,241.40, 711,998.10 and 376,054.20

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Solution

The fourth proportional to 475,241.40, 711,998.10 and 376,054.20 is: 563,397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,241.40 : 711,998.10 = 376,054.20 : x
  2. Step 2: Convert to fraction form
    475,241.40/711,998.10 = 376,054.20/x
  3. Step 3: Cross multiply
    475,241.40x = 711,998.10 × 376,054.20
  4. Step 4: Simplify right side
    475,241.40x = 267,749,875,897.02
  5. Step 5: Solve for x
    x = 267,749,875,897.02/475,241.40
  6. Step 6: Final answer
    x = 563,397.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.