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Finding the Fourth Proportional to 368,633.16, 508,611.96 and 207,478.80

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Solution

The fourth proportional to 368,633.16, 508,611.96 and 207,478.80 is: 286,263.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,633.16 : 508,611.96 = 207,478.80 : x
  2. Step 2: Convert to fraction form
    368,633.16/508,611.96 = 207,478.80/x
  3. Step 3: Cross multiply
    368,633.16x = 508,611.96 × 207,478.80
  4. Step 4: Simplify right side
    368,633.16x = 105,526,199,126.45
  5. Step 5: Solve for x
    x = 105,526,199,126.45/368,633.16
  6. Step 6: Final answer
    x = 286,263.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.