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Finding the Fourth Proportional to 380,407.69, 524,962.58 and 210,641.82

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Solution

The fourth proportional to 380,407.69, 524,962.58 and 210,641.82 is: 290,685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,407.69 : 524,962.58 = 210,641.82 : x
  2. Step 2: Convert to fraction form
    380,407.69/524,962.58 = 210,641.82/x
  3. Step 3: Cross multiply
    380,407.69x = 524,962.58 × 210,641.82
  4. Step 4: Simplify right side
    380,407.69x = 110,579,073,283.10
  5. Step 5: Solve for x
    x = 110,579,073,283.10/380,407.69
  6. Step 6: Final answer
    x = 290,685.69

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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.