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Finding the Fourth Proportional to 553,010.60, 828,744.74 and 417,963.80

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Solution

The fourth proportional to 553,010.60, 828,744.74 and 417,963.80 is: 626,362.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,010.60 : 828,744.74 = 417,963.80 : x
  2. Step 2: Convert to fraction form
    553,010.60/828,744.74 = 417,963.80/x
  3. Step 3: Cross multiply
    553,010.60x = 828,744.74 × 417,963.80
  4. Step 4: Simplify right side
    553,010.60x = 346,385,300,760.41
  5. Step 5: Solve for x
    x = 346,385,300,760.41/553,010.60
  6. Step 6: Final answer
    x = 626,362.86

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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.