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Finding the Fourth Proportional to 367,188.82, 506,434.89 and 265,595.38

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Solution

The fourth proportional to 367,188.82, 506,434.89 and 265,595.38 is: 366,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,188.82 : 506,434.89 = 265,595.38 : x
  2. Step 2: Convert to fraction form
    367,188.82/506,434.89 = 265,595.38/x
  3. Step 3: Cross multiply
    367,188.82x = 506,434.89 × 265,595.38
  4. Step 4: Simplify right side
    367,188.82x = 134,506,767,054.81
  5. Step 5: Solve for x
    x = 134,506,767,054.81/367,188.82
  6. Step 6: Final answer
    x = 366,314.98

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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.