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Finding the Fourth Proportional to 384,098.40, 575,456.40 and 328,802.40

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Solution

The fourth proportional to 384,098.40, 575,456.40 and 328,802.40 is: 492,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,098.40 : 575,456.40 = 328,802.40 : x
  2. Step 2: Convert to fraction form
    384,098.40/575,456.40 = 328,802.40/x
  3. Step 3: Cross multiply
    384,098.40x = 575,456.40 × 328,802.40
  4. Step 4: Simplify right side
    384,098.40x = 189,211,445,415.36
  5. Step 5: Solve for x
    x = 189,211,445,415.36/384,098.40
  6. Step 6: Final answer
    x = 492,611.91

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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.