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Finding the Fourth Proportional to 456,802.66, 685,269.78 and 141,284.17

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Solution

The fourth proportional to 456,802.66, 685,269.78 and 141,284.17 is: 211,946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,802.66 : 685,269.78 = 141,284.17 : x
  2. Step 2: Convert to fraction form
    456,802.66/685,269.78 = 141,284.17/x
  3. Step 3: Cross multiply
    456,802.66x = 685,269.78 × 141,284.17
  4. Step 4: Simplify right side
    456,802.66x = 96,817,772,093.38
  5. Step 5: Solve for x
    x = 96,817,772,093.38/456,802.66
  6. Step 6: Final answer
    x = 211,946.60

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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.