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Finding the Fourth Proportional to 401,829.40, 602,744.10 and 260,111.80

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Solution

The fourth proportional to 401,829.40, 602,744.10 and 260,111.80 is: 390,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,829.40 : 602,744.10 = 260,111.80 : x
  2. Step 2: Convert to fraction form
    401,829.40/602,744.10 = 260,111.80/x
  3. Step 3: Cross multiply
    401,829.40x = 602,744.10 × 260,111.80
  4. Step 4: Simplify right side
    401,829.40x = 156,780,852,790.38
  5. Step 5: Solve for x
    x = 156,780,852,790.38/401,829.40
  6. Step 6: Final answer
    x = 390,167.70

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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.