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Finding the Fourth Proportional to 652,137.60, 978,206.40 and 596,150.40

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Solution

The fourth proportional to 652,137.60, 978,206.40 and 596,150.40 is: 894,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,137.60 : 978,206.40 = 596,150.40 : x
  2. Step 2: Convert to fraction form
    652,137.60/978,206.40 = 596,150.40/x
  3. Step 3: Cross multiply
    652,137.60x = 978,206.40 × 596,150.40
  4. Step 4: Simplify right side
    652,137.60x = 583,158,136,642.56
  5. Step 5: Solve for x
    x = 583,158,136,642.56/652,137.60
  6. Step 6: Final answer
    x = 894,225.60

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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.