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Finding the Fourth Proportional to 401,281.65, 602,014.65 and 135,035.04

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Solution

The fourth proportional to 401,281.65, 602,014.65 and 135,035.04 is: 202,583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,281.65 : 602,014.65 = 135,035.04 : x
  2. Step 2: Convert to fraction form
    401,281.65/602,014.65 = 135,035.04/x
  3. Step 3: Cross multiply
    401,281.65x = 602,014.65 × 135,035.04
  4. Step 4: Simplify right side
    401,281.65x = 81,293,072,343.34
  5. Step 5: Solve for x
    x = 81,293,072,343.34/401,281.65
  6. Step 6: Final answer
    x = 202,583.58

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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.