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Finding the Fourth Proportional to 391,088, 539,707.92 and 212,240

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Solution

The fourth proportional to 391,088, 539,707.92 and 212,240 is: 292,894.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,088 : 539,707.92 = 212,240 : x
  2. Step 2: Convert to fraction form
    391,088/539,707.92 = 212,240/x
  3. Step 3: Cross multiply
    391,088x = 539,707.92 × 212,240
  4. Step 4: Simplify right side
    391,088x = 114,547,608,940.80
  5. Step 5: Solve for x
    x = 114,547,608,940.80/391,088
  6. Step 6: Final answer
    x = 292,894.72

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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.