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Finding the Fourth Proportional to 610,205.40, 917,276.40 and 433,933.20

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Solution

The fourth proportional to 610,205.40, 917,276.40 and 433,933.20 is: 652,299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,205.40 : 917,276.40 = 433,933.20 : x
  2. Step 2: Convert to fraction form
    610,205.40/917,276.40 = 433,933.20/x
  3. Step 3: Cross multiply
    610,205.40x = 917,276.40 × 433,933.20
  4. Step 4: Simplify right side
    610,205.40x = 398,036,683,536.48
  5. Step 5: Solve for x
    x = 398,036,683,536.48/610,205.40
  6. Step 6: Final answer
    x = 652,299.51

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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.