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Finding the Fourth Proportional to 652,062.17, 978,096.63 and 296,827.76

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Solution

The fourth proportional to 652,062.17, 978,096.63 and 296,827.76 is: 445,243.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,062.17 : 978,096.63 = 296,827.76 : x
  2. Step 2: Convert to fraction form
    652,062.17/978,096.63 = 296,827.76/x
  3. Step 3: Cross multiply
    652,062.17x = 978,096.63 × 296,827.76
  4. Step 4: Simplify right side
    652,062.17x = 290,326,231,746.45
  5. Step 5: Solve for x
    x = 290,326,231,746.45/652,062.17
  6. Step 6: Final answer
    x = 445,243.18

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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.