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Finding the Fourth Proportional to 611,164.90, 917,075.40 and 256,214.80

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Solution

The fourth proportional to 611,164.90, 917,075.40 and 256,214.80 is: 384,459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,164.90 : 917,075.40 = 256,214.80 : x
  2. Step 2: Convert to fraction form
    611,164.90/917,075.40 = 256,214.80/x
  3. Step 3: Cross multiply
    611,164.90x = 917,075.40 × 256,214.80
  4. Step 4: Simplify right side
    611,164.90x = 234,968,290,195.92
  5. Step 5: Solve for x
    x = 234,968,290,195.92/611,164.90
  6. Step 6: Final answer
    x = 384,459.73

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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.