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Finding the Fourth Proportional to 380,561.89, 525,176.06 and 208,476.10

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Solution

The fourth proportional to 380,561.89, 525,176.06 and 208,476.10 is: 287,697.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,561.89 : 525,176.06 = 208,476.10 : x
  2. Step 2: Convert to fraction form
    380,561.89/525,176.06 = 208,476.10/x
  3. Step 3: Cross multiply
    380,561.89x = 525,176.06 × 208,476.10
  4. Step 4: Simplify right side
    380,561.89x = 109,486,656,802.17
  5. Step 5: Solve for x
    x = 109,486,656,802.17/380,561.89
  6. Step 6: Final answer
    x = 287,697.38

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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.