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Finding the Fourth Proportional to 653,835.20, 978,925.54 and 353,238.80

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Solution

The fourth proportional to 653,835.20, 978,925.54 and 353,238.80 is: 528,871.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,835.20 : 978,925.54 = 353,238.80 : x
  2. Step 2: Convert to fraction form
    653,835.20/978,925.54 = 353,238.80/x
  3. Step 3: Cross multiply
    653,835.20x = 978,925.54 × 353,238.80
  4. Step 4: Simplify right side
    653,835.20x = 345,794,483,038.95
  5. Step 5: Solve for x
    x = 345,794,483,038.95/653,835.20
  6. Step 6: Final answer
    x = 528,871.01

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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.