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Finding the Fourth Proportional to 831,350.40, 1,146,988.48 and 468,728.96

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Solution

The fourth proportional to 831,350.40, 1,146,988.48 and 468,728.96 is: 646,690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,350.40 : 1,146,988.48 = 468,728.96 : x
  2. Step 2: Convert to fraction form
    831,350.40/1,146,988.48 = 468,728.96/x
  3. Step 3: Cross multiply
    831,350.40x = 1,146,988.48 × 468,728.96
  4. Step 4: Simplify right side
    831,350.40x = 537,626,717,362.38
  5. Step 5: Solve for x
    x = 537,626,717,362.38/831,350.40
  6. Step 6: Final answer
    x = 646,690.87

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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.