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Finding the Fourth Proportional to 467,116.95, 700,675.43 and 458,259.60

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Solution

The fourth proportional to 467,116.95, 700,675.43 and 458,259.60 is: 687,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,116.95 : 700,675.43 = 458,259.60 : x
  2. Step 2: Convert to fraction form
    467,116.95/700,675.43 = 458,259.60/x
  3. Step 3: Cross multiply
    467,116.95x = 700,675.43 × 458,259.60
  4. Step 4: Simplify right side
    467,116.95x = 321,091,239,990.33
  5. Step 5: Solve for x
    x = 321,091,239,990.33/467,116.95
  6. Step 6: Final answer
    x = 687,389.40

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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.