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Finding the Fourth Proportional to 870,250.33, 1,305,642.75 and 415,421.95

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Solution

The fourth proportional to 870,250.33, 1,305,642.75 and 415,421.95 is: 623,260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,250.33 : 1,305,642.75 = 415,421.95 : x
  2. Step 2: Convert to fraction form
    870,250.33/1,305,642.75 = 415,421.95/x
  3. Step 3: Cross multiply
    870,250.33x = 1,305,642.75 × 415,421.95
  4. Step 4: Simplify right side
    870,250.33x = 542,392,657,208.36
  5. Step 5: Solve for x
    x = 542,392,657,208.36/870,250.33
  6. Step 6: Final answer
    x = 623,260.50

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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.