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Finding the Fourth Proportional to 401,385.80, 602,078.70 and 164,898.20

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Solution

The fourth proportional to 401,385.80, 602,078.70 and 164,898.20 is: 247,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,385.80 : 602,078.70 = 164,898.20 : x
  2. Step 2: Convert to fraction form
    401,385.80/602,078.70 = 164,898.20/x
  3. Step 3: Cross multiply
    401,385.80x = 602,078.70 × 164,898.20
  4. Step 4: Simplify right side
    401,385.80x = 99,281,693,888.34
  5. Step 5: Solve for x
    x = 99,281,693,888.34/401,385.80
  6. Step 6: Final answer
    x = 247,347.30

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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.