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Finding the Fourth Proportional to 513,868.46, 770,854.17 and 176,864.51

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Solution

The fourth proportional to 513,868.46, 770,854.17 and 176,864.51 is: 265,314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,868.46 : 770,854.17 = 176,864.51 : x
  2. Step 2: Convert to fraction form
    513,868.46/770,854.17 = 176,864.51/x
  3. Step 3: Cross multiply
    513,868.46x = 770,854.17 × 176,864.51
  4. Step 4: Simplify right side
    513,868.46x = 136,336,746,654.02
  5. Step 5: Solve for x
    x = 136,336,746,654.02/513,868.46
  6. Step 6: Final answer
    x = 265,314.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.