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Finding the Fourth Proportional to 652,184.90, 978,277.35 and 463,228.10

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Solution

The fourth proportional to 652,184.90, 978,277.35 and 463,228.10 is: 694,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,184.90 : 978,277.35 = 463,228.10 : x
  2. Step 2: Convert to fraction form
    652,184.90/978,277.35 = 463,228.10/x
  3. Step 3: Cross multiply
    652,184.90x = 978,277.35 × 463,228.10
  4. Step 4: Simplify right side
    652,184.90x = 453,165,558,113.54
  5. Step 5: Solve for x
    x = 453,165,558,113.54/652,184.90
  6. Step 6: Final answer
    x = 694,842.15

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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.