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Finding the Fourth Proportional to 652,117.80, 978,176.70 and 297,823.80

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Solution

The fourth proportional to 652,117.80, 978,176.70 and 297,823.80 is: 446,735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,117.80 : 978,176.70 = 297,823.80 : x
  2. Step 2: Convert to fraction form
    652,117.80/978,176.70 = 297,823.80/x
  3. Step 3: Cross multiply
    652,117.80x = 978,176.70 × 297,823.80
  4. Step 4: Simplify right side
    652,117.80x = 291,324,301,865.46
  5. Step 5: Solve for x
    x = 291,324,301,865.46/652,117.80
  6. Step 6: Final answer
    x = 446,735.70

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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.