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Finding the Fourth Proportional to 424,023.84, 584,536.32 and 296,303.04

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Solution

The fourth proportional to 424,023.84, 584,536.32 and 296,303.04 is: 408,467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,023.84 : 584,536.32 = 296,303.04 : x
  2. Step 2: Convert to fraction form
    424,023.84/584,536.32 = 296,303.04/x
  3. Step 3: Cross multiply
    424,023.84x = 584,536.32 × 296,303.04
  4. Step 4: Simplify right side
    424,023.84x = 173,199,888,606.41
  5. Step 5: Solve for x
    x = 173,199,888,606.41/424,023.84
  6. Step 6: Final answer
    x = 408,467.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.