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Finding the Fourth Proportional to 652,102.60, 978,153.90 and 596,115.40

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Solution

The fourth proportional to 652,102.60, 978,153.90 and 596,115.40 is: 894,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,102.60 : 978,153.90 = 596,115.40 : x
  2. Step 2: Convert to fraction form
    652,102.60/978,153.90 = 596,115.40/x
  3. Step 3: Cross multiply
    652,102.60x = 978,153.90 × 596,115.40
  4. Step 4: Simplify right side
    652,102.60x = 583,092,603,360.06
  5. Step 5: Solve for x
    x = 583,092,603,360.06/652,102.60
  6. Step 6: Final answer
    x = 894,173.10

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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.