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Finding the Fourth Proportional to 461,740.44, 692,830.04 and 319,804.16

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Solution

The fourth proportional to 461,740.44, 692,830.04 and 319,804.16 is: 479,858.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,740.44 : 692,830.04 = 319,804.16 : x
  2. Step 2: Convert to fraction form
    461,740.44/692,830.04 = 319,804.16/x
  3. Step 3: Cross multiply
    461,740.44x = 692,830.04 × 319,804.16
  4. Step 4: Simplify right side
    461,740.44x = 221,569,928,964.97
  5. Step 5: Solve for x
    x = 221,569,928,964.97/461,740.44
  6. Step 6: Final answer
    x = 479,858.18

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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.