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Finding the Fourth Proportional to 833,641.95, 1,150,410.86 and 471,058.01

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Solution

The fourth proportional to 833,641.95, 1,150,410.86 and 471,058.01 is: 650,051.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,641.95 : 1,150,410.86 = 471,058.01 : x
  2. Step 2: Convert to fraction form
    833,641.95/1,150,410.86 = 471,058.01/x
  3. Step 3: Cross multiply
    833,641.95x = 1,150,410.86 × 471,058.01
  4. Step 4: Simplify right side
    833,641.95x = 541,910,242,286.64
  5. Step 5: Solve for x
    x = 541,910,242,286.64/833,641.95
  6. Step 6: Final answer
    x = 650,051.55

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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.