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Finding the Fourth Proportional to 457,582.88, 685,966.08 and 232,817.60

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Solution

The fourth proportional to 457,582.88, 685,966.08 and 232,817.60 is: 349,018.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,582.88 : 685,966.08 = 232,817.60 : x
  2. Step 2: Convert to fraction form
    457,582.88/685,966.08 = 232,817.60/x
  3. Step 3: Cross multiply
    457,582.88x = 685,966.08 × 232,817.60
  4. Step 4: Simplify right side
    457,582.88x = 159,704,976,427.01
  5. Step 5: Solve for x
    x = 159,704,976,427.01/457,582.88
  6. Step 6: Final answer
    x = 349,018.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.