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Finding the Fourth Proportional to 652,291.84, 978,771.75 and 297,260.20

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Solution

The fourth proportional to 652,291.84, 978,771.75 and 297,260.20 is: 446,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,291.84 : 978,771.75 = 297,260.20 : x
  2. Step 2: Convert to fraction form
    652,291.84/978,771.75 = 297,260.20/x
  3. Step 3: Cross multiply
    652,291.84x = 978,771.75 × 297,260.20
  4. Step 4: Simplify right side
    652,291.84x = 290,949,886,159.35
  5. Step 5: Solve for x
    x = 290,949,886,159.35/652,291.84
  6. Step 6: Final answer
    x = 446,042.50

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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.