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Finding the Fourth Proportional to 401,459.34, 602,189.28 and 101,962.38

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Solution

The fourth proportional to 401,459.34, 602,189.28 and 101,962.38 is: 152,943.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,459.34 : 602,189.28 = 101,962.38 : x
  2. Step 2: Convert to fraction form
    401,459.34/602,189.28 = 101,962.38/x
  3. Step 3: Cross multiply
    401,459.34x = 602,189.28 × 101,962.38
  4. Step 4: Simplify right side
    401,459.34x = 61,400,652,199.29
  5. Step 5: Solve for x
    x = 61,400,652,199.29/401,459.34
  6. Step 6: Final answer
    x = 152,943.64

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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.