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Finding the Fourth Proportional to 434,098.80, 651,061.80 and 209,458.80

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Solution

The fourth proportional to 434,098.80, 651,061.80 and 209,458.80 is: 314,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,098.80 : 651,061.80 = 209,458.80 : x
  2. Step 2: Convert to fraction form
    434,098.80/651,061.80 = 209,458.80/x
  3. Step 3: Cross multiply
    434,098.80x = 651,061.80 × 209,458.80
  4. Step 4: Simplify right side
    434,098.80x = 136,370,623,353.84
  5. Step 5: Solve for x
    x = 136,370,623,353.84/434,098.80
  6. Step 6: Final answer
    x = 314,146.51

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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.