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Finding the Fourth Proportional to 1,067,437, 1,473,109.14 and 590,509

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Solution

The fourth proportional to 1,067,437, 1,473,109.14 and 590,509 is: 814,927.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067,437 : 1,473,109.14 = 590,509 : x
  2. Step 2: Convert to fraction form
    1,067,437/1,473,109.14 = 590,509/x
  3. Step 3: Cross multiply
    1,067,437x = 1,473,109.14 × 590,509
  4. Step 4: Simplify right side
    1,067,437x = 869,884,205,152.26
  5. Step 5: Solve for x
    x = 869,884,205,152.26/1,067,437
  6. Step 6: Final answer
    x = 814,927.91

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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.