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Finding the Fourth Proportional to 785,571, 1,084,087.98 and 427,875

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Solution

The fourth proportional to 785,571, 1,084,087.98 and 427,875 is: 590,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,571 : 1,084,087.98 = 427,875 : x
  2. Step 2: Convert to fraction form
    785,571/1,084,087.98 = 427,875/x
  3. Step 3: Cross multiply
    785,571x = 1,084,087.98 × 427,875
  4. Step 4: Simplify right side
    785,571x = 463,854,144,442.50
  5. Step 5: Solve for x
    x = 463,854,144,442.50/785,571
  6. Step 6: Final answer
    x = 590,467.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.