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Finding the Fourth Proportional to 652,089.60, 978,134.40 and 596,102.40

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Solution

The fourth proportional to 652,089.60, 978,134.40 and 596,102.40 is: 894,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,089.60 : 978,134.40 = 596,102.40 : x
  2. Step 2: Convert to fraction form
    652,089.60/978,134.40 = 596,102.40/x
  3. Step 3: Cross multiply
    652,089.60x = 978,134.40 × 596,102.40
  4. Step 4: Simplify right side
    652,089.60x = 583,068,263,362.56
  5. Step 5: Solve for x
    x = 583,068,263,362.56/652,089.60
  6. Step 6: Final answer
    x = 894,153.60

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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.