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Finding the Fourth Proportional to 1,952,710.83, 2,929,533.91 and 814,840.06

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Solution

The fourth proportional to 1,952,710.83, 2,929,533.91 and 814,840.06 is: 1,222,455.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952,710.83 : 2,929,533.91 = 814,840.06 : x
  2. Step 2: Convert to fraction form
    1,952,710.83/2,929,533.91 = 814,840.06/x
  3. Step 3: Cross multiply
    1,952,710.83x = 2,929,533.91 × 814,840.06
  4. Step 4: Simplify right side
    1,952,710.83x = 2,387,101,599,327.47
  5. Step 5: Solve for x
    x = 2,387,101,599,327.47/1,952,710.83
  6. Step 6: Final answer
    x = 1,222,455.24

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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.