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Finding the Fourth Proportional to 586,842.80, 880,323.88 and 202,541.64

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Solution

The fourth proportional to 586,842.80, 880,323.88 and 202,541.64 is: 303,833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,842.80 : 880,323.88 = 202,541.64 : x
  2. Step 2: Convert to fraction form
    586,842.80/880,323.88 = 202,541.64/x
  3. Step 3: Cross multiply
    586,842.80x = 880,323.88 × 202,541.64
  4. Step 4: Simplify right side
    586,842.80x = 178,302,243,910.38
  5. Step 5: Solve for x
    x = 178,302,243,910.38/586,842.80
  6. Step 6: Final answer
    x = 303,833.06

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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.