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Finding the Fourth Proportional to 578,064.33, 797,742.95 and 323,432.01

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Solution

The fourth proportional to 578,064.33, 797,742.95 and 323,432.01 is: 446,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,064.33 : 797,742.95 = 323,432.01 : x
  2. Step 2: Convert to fraction form
    578,064.33/797,742.95 = 323,432.01/x
  3. Step 3: Cross multiply
    578,064.33x = 797,742.95 × 323,432.01
  4. Step 4: Simplify right side
    578,064.33x = 258,015,604,164.67
  5. Step 5: Solve for x
    x = 258,015,604,164.67/578,064.33
  6. Step 6: Final answer
    x = 446,344.10

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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.