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Finding the Fourth Proportional to 832,374, 1,148,676.12 and 474,678

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Solution

The fourth proportional to 832,374, 1,148,676.12 and 474,678 is: 655,055.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,374 : 1,148,676.12 = 474,678 : x
  2. Step 2: Convert to fraction form
    832,374/1,148,676.12 = 474,678/x
  3. Step 3: Cross multiply
    832,374x = 1,148,676.12 × 474,678
  4. Step 4: Simplify right side
    832,374x = 545,251,283,289.36
  5. Step 5: Solve for x
    x = 545,251,283,289.36/832,374
  6. Step 6: Final answer
    x = 655,055.64

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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.