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Finding the Fourth Proportional to 577,705.60, 866,212.80 and 297,769.60

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Solution

The fourth proportional to 577,705.60, 866,212.80 and 297,769.60 is: 446,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,705.60 : 866,212.80 = 297,769.60 : x
  2. Step 2: Convert to fraction form
    577,705.60/866,212.80 = 297,769.60/x
  3. Step 3: Cross multiply
    577,705.60x = 866,212.80 × 297,769.60
  4. Step 4: Simplify right side
    577,705.60x = 257,931,838,970.88
  5. Step 5: Solve for x
    x = 257,931,838,970.88/577,705.60
  6. Step 6: Final answer
    x = 446,476.27

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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.