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Finding the Fourth Proportional to 416,829.04, 624,730.64 and 237,065.36

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Solution

The fourth proportional to 416,829.04, 624,730.64 and 237,065.36 is: 355,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,829.04 : 624,730.64 = 237,065.36 : x
  2. Step 2: Convert to fraction form
    416,829.04/624,730.64 = 237,065.36/x
  3. Step 3: Cross multiply
    416,829.04x = 624,730.64 × 237,065.36
  4. Step 4: Simplify right side
    416,829.04x = 148,101,994,074.63
  5. Step 5: Solve for x
    x = 148,101,994,074.63/416,829.04
  6. Step 6: Final answer
    x = 355,306.32

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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.