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Finding the Fourth Proportional to 652,133.10, 978,199.65 and 596,145.90

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Solution

The fourth proportional to 652,133.10, 978,199.65 and 596,145.90 is: 894,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,133.10 : 978,199.65 = 596,145.90 : x
  2. Step 2: Convert to fraction form
    652,133.10/978,199.65 = 596,145.90/x
  3. Step 3: Cross multiply
    652,133.10x = 978,199.65 × 596,145.90
  4. Step 4: Simplify right side
    652,133.10x = 583,149,710,728.94
  5. Step 5: Solve for x
    x = 583,149,710,728.94/652,133.10
  6. Step 6: Final answer
    x = 894,218.85

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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.