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Finding the Fourth Proportional to 402,719.50, 602,764.86 and 296,075.26

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Solution

The fourth proportional to 402,719.50, 602,764.86 and 296,075.26 is: 443,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,719.50 : 602,764.86 = 296,075.26 : x
  2. Step 2: Convert to fraction form
    402,719.50/602,764.86 = 296,075.26/x
  3. Step 3: Cross multiply
    402,719.50x = 602,764.86 × 296,075.26
  4. Step 4: Simplify right side
    402,719.50x = 178,463,762,643.36
  5. Step 5: Solve for x
    x = 178,463,762,643.36/402,719.50
  6. Step 6: Final answer
    x = 443,146.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.