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Finding the Fourth Proportional to 832,622.09, 1,149,039.47 and 510,509.79

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Solution

The fourth proportional to 832,622.09, 1,149,039.47 and 510,509.79 is: 704,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,622.09 : 1,149,039.47 = 510,509.79 : x
  2. Step 2: Convert to fraction form
    832,622.09/1,149,039.47 = 510,509.79/x
  3. Step 3: Cross multiply
    832,622.09x = 1,149,039.47 × 510,509.79
  4. Step 4: Simplify right side
    832,622.09x = 586,595,899,807.69
  5. Step 5: Solve for x
    x = 586,595,899,807.69/832,622.09
  6. Step 6: Final answer
    x = 704,516.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.