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Finding the Fourth Proportional to 452,034.42, 623,893.50 and 299,075.64

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Solution

The fourth proportional to 452,034.42, 623,893.50 and 299,075.64 is: 412,781.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,034.42 : 623,893.50 = 299,075.64 : x
  2. Step 2: Convert to fraction form
    452,034.42/623,893.50 = 299,075.64/x
  3. Step 3: Cross multiply
    452,034.42x = 623,893.50 × 299,075.64
  4. Step 4: Simplify right side
    452,034.42x = 186,591,347,804.34
  5. Step 5: Solve for x
    x = 186,591,347,804.34/452,034.42
  6. Step 6: Final answer
    x = 412,781.28

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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.