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Finding the Fourth Proportional to 464,939.64, 697,409.46 and 132,507

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Solution

The fourth proportional to 464,939.64, 697,409.46 and 132,507 is: 198,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,939.64 : 697,409.46 = 132,507 : x
  2. Step 2: Convert to fraction form
    464,939.64/697,409.46 = 132,507/x
  3. Step 3: Cross multiply
    464,939.64x = 697,409.46 × 132,507
  4. Step 4: Simplify right side
    464,939.64x = 92,411,635,316.22
  5. Step 5: Solve for x
    x = 92,411,635,316.22/464,939.64
  6. Step 6: Final answer
    x = 198,760.50

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Similar ratio
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1.5x scale

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.