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Finding the Fourth Proportional to 364,587.51, 503,055.63 and 209,508.81

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Solution

The fourth proportional to 364,587.51, 503,055.63 and 209,508.81 is: 289,078.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,587.51 : 503,055.63 = 209,508.81 : x
  2. Step 2: Convert to fraction form
    364,587.51/503,055.63 = 209,508.81/x
  3. Step 3: Cross multiply
    364,587.51x = 503,055.63 × 209,508.81
  4. Step 4: Simplify right side
    364,587.51x = 105,394,586,405.10
  5. Step 5: Solve for x
    x = 105,394,586,405.10/364,587.51
  6. Step 6: Final answer
    x = 289,078.98

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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.