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Finding the Fourth Proportional to 962,795, 1,328,666.14 and 533,084.34

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Solution

The fourth proportional to 962,795, 1,328,666.14 and 533,084.34 is: 735,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,795 : 1,328,666.14 = 533,084.34 : x
  2. Step 2: Convert to fraction form
    962,795/1,328,666.14 = 533,084.34/x
  3. Step 3: Cross multiply
    962,795x = 1,328,666.14 × 533,084.34
  4. Step 4: Simplify right side
    962,795x = 708,291,112,322.25
  5. Step 5: Solve for x
    x = 708,291,112,322.25/962,795
  6. Step 6: Final answer
    x = 735,661.39

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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.