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Finding the Fourth Proportional to 380,507.29, 525,079.75 and 208,416.36

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Solution

The fourth proportional to 380,507.29, 525,079.75 and 208,416.36 is: 287,603.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,507.29 : 525,079.75 = 208,416.36 : x
  2. Step 2: Convert to fraction form
    380,507.29/525,079.75 = 208,416.36/x
  3. Step 3: Cross multiply
    380,507.29x = 525,079.75 × 208,416.36
  4. Step 4: Simplify right side
    380,507.29x = 109,435,210,204.71
  5. Step 5: Solve for x
    x = 109,435,210,204.71/380,507.29
  6. Step 6: Final answer
    x = 287,603.45

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