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Finding the Fourth Proportional to 461,386.56, 692,075.70 and 145,843.68

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Solution

The fourth proportional to 461,386.56, 692,075.70 and 145,843.68 is: 218,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,386.56 : 692,075.70 = 145,843.68 : x
  2. Step 2: Convert to fraction form
    461,386.56/692,075.70 = 145,843.68/x
  3. Step 3: Cross multiply
    461,386.56x = 692,075.70 × 145,843.68
  4. Step 4: Simplify right side
    461,386.56x = 100,934,866,926.58
  5. Step 5: Solve for x
    x = 100,934,866,926.58/461,386.56
  6. Step 6: Final answer
    x = 218,764.21

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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.