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Finding the Fourth Proportional to 441,702.84, 609,394.62 and 288,830.46

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Solution

The fourth proportional to 441,702.84, 609,394.62 and 288,830.46 is: 398,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,702.84 : 609,394.62 = 288,830.46 : x
  2. Step 2: Convert to fraction form
    441,702.84/609,394.62 = 288,830.46/x
  3. Step 3: Cross multiply
    441,702.84x = 609,394.62 × 288,830.46
  4. Step 4: Simplify right side
    441,702.84x = 176,011,728,416.13
  5. Step 5: Solve for x
    x = 176,011,728,416.13/441,702.84
  6. Step 6: Final answer
    x = 398,484.48

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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.