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Finding the Fourth Proportional to 463,354.32, 693,767.28 and 350,693.76

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Solution

The fourth proportional to 463,354.32, 693,767.28 and 350,693.76 is: 525,083.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,354.32 : 693,767.28 = 350,693.76 : x
  2. Step 2: Convert to fraction form
    463,354.32/693,767.28 = 350,693.76/x
  3. Step 3: Cross multiply
    463,354.32x = 693,767.28 × 350,693.76
  4. Step 4: Simplify right side
    463,354.32x = 243,299,855,988.17
  5. Step 5: Solve for x
    x = 243,299,855,988.17/463,354.32
  6. Step 6: Final answer
    x = 525,083.82

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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.