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Finding the Fourth Proportional to 875,285, 1,207,893.32 and 472,877

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Solution

The fourth proportional to 875,285, 1,207,893.32 and 472,877 is: 652,570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,285 : 1,207,893.32 = 472,877 : x
  2. Step 2: Convert to fraction form
    875,285/1,207,893.32 = 472,877/x
  3. Step 3: Cross multiply
    875,285x = 1,207,893.32 × 472,877
  4. Step 4: Simplify right side
    875,285x = 571,184,969,481.64
  5. Step 5: Solve for x
    x = 571,184,969,481.64/875,285
  6. Step 6: Final answer
    x = 652,570.27

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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.