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Finding the Fourth Proportional to 457,681.79, 686,522.72 and 177,199.04

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Solution

The fourth proportional to 457,681.79, 686,522.72 and 177,199.04 is: 265,798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,681.79 : 686,522.72 = 177,199.04 : x
  2. Step 2: Convert to fraction form
    457,681.79/686,522.72 = 177,199.04/x
  3. Step 3: Cross multiply
    457,681.79x = 686,522.72 × 177,199.04
  4. Step 4: Simplify right side
    457,681.79x = 121,651,169,081.49
  5. Step 5: Solve for x
    x = 121,651,169,081.49/457,681.79
  6. Step 6: Final answer
    x = 265,798.58

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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.