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Finding the Fourth Proportional to 463,137.60, 693,669.60 and 357,614.40

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Solution

The fourth proportional to 463,137.60, 693,669.60 and 357,614.40 is: 535,621.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,137.60 : 693,669.60 = 357,614.40 : x
  2. Step 2: Convert to fraction form
    463,137.60/693,669.60 = 357,614.40/x
  3. Step 3: Cross multiply
    463,137.60x = 693,669.60 × 357,614.40
  4. Step 4: Simplify right side
    463,137.60x = 248,066,237,802.24
  5. Step 5: Solve for x
    x = 248,066,237,802.24/463,137.60
  6. Step 6: Final answer
    x = 535,621.03

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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.