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Finding the Fourth Proportional to 468,051.80, 645,783.18 and 298,146.20

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Solution

The fourth proportional to 468,051.80, 645,783.18 and 298,146.20 is: 411,360.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,051.80 : 645,783.18 = 298,146.20 : x
  2. Step 2: Convert to fraction form
    468,051.80/645,783.18 = 298,146.20/x
  3. Step 3: Cross multiply
    468,051.80x = 645,783.18 × 298,146.20
  4. Step 4: Simplify right side
    468,051.80x = 192,537,801,140.92
  5. Step 5: Solve for x
    x = 192,537,801,140.92/468,051.80
  6. Step 6: Final answer
    x = 411,360.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.