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Finding the Fourth Proportional to 652,132.70, 978,199.05 and 297,838.70

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Solution

The fourth proportional to 652,132.70, 978,199.05 and 297,838.70 is: 446,758.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,132.70 : 978,199.05 = 297,838.70 : x
  2. Step 2: Convert to fraction form
    652,132.70/978,199.05 = 297,838.70/x
  3. Step 3: Cross multiply
    652,132.70x = 978,199.05 × 297,838.70
  4. Step 4: Simplify right side
    652,132.70x = 291,345,533,393.24
  5. Step 5: Solve for x
    x = 291,345,533,393.24/652,132.70
  6. Step 6: Final answer
    x = 446,758.05

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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.