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Finding the Fourth Proportional to 652,116.30, 978,174.45 and 561,914.70

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Solution

The fourth proportional to 652,116.30, 978,174.45 and 561,914.70 is: 842,872.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,116.30 : 978,174.45 = 561,914.70 : x
  2. Step 2: Convert to fraction form
    652,116.30/978,174.45 = 561,914.70/x
  3. Step 3: Cross multiply
    652,116.30x = 978,174.45 × 561,914.70
  4. Step 4: Simplify right side
    652,116.30x = 549,650,602,619.42
  5. Step 5: Solve for x
    x = 549,650,602,619.42/652,116.30
  6. Step 6: Final answer
    x = 842,872.05

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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.