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Finding the Fourth Proportional to 411,349.80, 616,733.10 and 158,532.60

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Solution

The fourth proportional to 411,349.80, 616,733.10 and 158,532.60 is: 237,686.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,349.80 : 616,733.10 = 158,532.60 : x
  2. Step 2: Convert to fraction form
    411,349.80/616,733.10 = 158,532.60/x
  3. Step 3: Cross multiply
    411,349.80x = 616,733.10 × 158,532.60
  4. Step 4: Simplify right side
    411,349.80x = 97,772,301,849.06
  5. Step 5: Solve for x
    x = 97,772,301,849.06/411,349.80
  6. Step 6: Final answer
    x = 237,686.52

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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.