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Finding the Fourth Proportional to 463,423.83, 695,210.75 and 143,500.51

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Solution

The fourth proportional to 463,423.83, 695,210.75 and 143,500.51 is: 215,273.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,423.83 : 695,210.75 = 143,500.51 : x
  2. Step 2: Convert to fraction form
    463,423.83/695,210.75 = 143,500.51/x
  3. Step 3: Cross multiply
    463,423.83x = 695,210.75 × 143,500.51
  4. Step 4: Simplify right side
    463,423.83x = 99,763,097,182.48
  5. Step 5: Solve for x
    x = 99,763,097,182.48/463,423.83
  6. Step 6: Final answer
    x = 215,273.99

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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.