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Finding the Fourth Proportional to 464,938.64, 697,407.96 and 132,506

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Solution

The fourth proportional to 464,938.64, 697,407.96 and 132,506 is: 198,759.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,938.64 : 697,407.96 = 132,506 : x
  2. Step 2: Convert to fraction form
    464,938.64/697,407.96 = 132,506/x
  3. Step 3: Cross multiply
    464,938.64x = 697,407.96 × 132,506
  4. Step 4: Simplify right side
    464,938.64x = 92,410,739,147.76
  5. Step 5: Solve for x
    x = 92,410,739,147.76/464,938.64
  6. Step 6: Final answer
    x = 198,759.00

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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.