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Finding the Fourth Proportional to 560,077.08, 838,317.30 and 293,457.40

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Solution

The fourth proportional to 560,077.08, 838,317.30 and 293,457.40 is: 439,243.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,077.08 : 838,317.30 = 293,457.40 : x
  2. Step 2: Convert to fraction form
    560,077.08/838,317.30 = 293,457.40/x
  3. Step 3: Cross multiply
    560,077.08x = 838,317.30 × 293,457.40
  4. Step 4: Simplify right side
    560,077.08x = 246,010,415,233.02
  5. Step 5: Solve for x
    x = 246,010,415,233.02/560,077.08
  6. Step 6: Final answer
    x = 439,243.85

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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.