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Finding the Fourth Proportional to 461,602.70, 692,706.80 and 162,075.56

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Solution

The fourth proportional to 461,602.70, 692,706.80 and 162,075.56 is: 243,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,602.70 : 692,706.80 = 162,075.56 : x
  2. Step 2: Convert to fraction form
    461,602.70/692,706.80 = 162,075.56/x
  3. Step 3: Cross multiply
    461,602.70x = 692,706.80 × 162,075.56
  4. Step 4: Simplify right side
    461,602.70x = 112,270,842,525.81
  5. Step 5: Solve for x
    x = 112,270,842,525.81/461,602.70
  6. Step 6: Final answer
    x = 243,219.64

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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.