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Finding the Fourth Proportional to 506,696.21, 760,053.12 and 186,683.36

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Solution

The fourth proportional to 506,696.21, 760,053.12 and 186,683.36 is: 280,028.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,696.21 : 760,053.12 = 186,683.36 : x
  2. Step 2: Convert to fraction form
    506,696.21/760,053.12 = 186,683.36/x
  3. Step 3: Cross multiply
    506,696.21x = 760,053.12 × 186,683.36
  4. Step 4: Simplify right side
    506,696.21x = 141,889,265,486.40
  5. Step 5: Solve for x
    x = 141,889,265,486.40/506,696.21
  6. Step 6: Final answer
    x = 280,028.28

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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.