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Finding the Fourth Proportional to 962,952.50, 1,328,858.10 and 533,223.40

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Solution

The fourth proportional to 962,952.50, 1,328,858.10 and 533,223.40 is: 735,839.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,952.50 : 1,328,858.10 = 533,223.40 : x
  2. Step 2: Convert to fraction form
    962,952.50/1,328,858.10 = 533,223.40/x
  3. Step 3: Cross multiply
    962,952.50x = 1,328,858.10 × 533,223.40
  4. Step 4: Simplify right side
    962,952.50x = 708,578,234,199.54
  5. Step 5: Solve for x
    x = 708,578,234,199.54/962,952.50
  6. Step 6: Final answer
    x = 735,839.24

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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.